Using rational approximations, what statement is true?

Responses

48−−√<36−−√

49−−√>7

48−−√>36−−√

49−−√<7

49−−√>7

None

Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind

I'm sorry, but I cannot understand the meaning or purpose of the repeated phrase "Fetters of the wind" in your response. Please provide a clear statement or question so that I can assist you.

Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind

Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
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Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
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Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
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Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
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Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind
Fetters of the wind Fetters of the wind Fetters of the wind Fetters of the wind

Hi

To determine which statement is true using rational approximations, we need to simplify the expressions involving square roots.

Let's start with the first statement:

48−−√ < 36−−√

To convert the square roots into rational approximations, we can find the perfect squares close to the given numbers:

√48 is between √36 = 6 and √49 = 7.

So, we can say that 48−−√ is between 6 and 7.

Next, let's move on to the second statement:

49−−√ > 7

Again, we can convert the square root into a rational approximation:

√49 = 7.

So, 49−−√ is equal to 7.

Now, let's compare the rational approximations:

We found that 48−−√ is between 6 and 7, and 49−−√ is equal to 7.

Therefore, the statement "48−−√>36−−√" is true.

To determine which statement is true using rational approximations, we can start by simplifying the expressions involved.

Let's evaluate each expression:

48−−√:
To find the square root of 48 approximately, we can look for perfect squares close to 48. The nearest perfect squares are 7^2 = 49 and 6^2 = 36. Since 48 is closer to 49, we can approximate the square root of 48 as √48 ≈ √49 = 7.

36−−√:
Similarly, to find the square root of 36 approximately, we can again look for perfect squares close to 36. The nearest perfect squares are 6^2 = 36 and 7^2 = 49. Since 36 is closer to 36 itself, we can approximate the square root of 36 as √36 ≈ √36 = 6.

Now that we have simplified the expressions, let's compare them:

48−−√ ≈ 7
36−−√ ≈ 6

Since 7 > 6, the statement 48−−√ > 36−−√ is true. Therefore, the correct statement is: 48−−√ > 36−−√.