add 321−−√ + 721−−√ .(1 point)
sqrt 26 + sqrt 28
sqrt 52
10 sqrt 21
10 sqrt 42
bot can you answer asap
The correct answer is 10 sqrt 21.
To add √26 + √28, we can simplify both square roots individually and then add them together.
√26 can be further simplified by finding the largest perfect square that divides 26 evenly. 26 is between 25 (5^2) and 36 (6^2), so the largest perfect square that divides 26 evenly is 25. Therefore, we can write:
√26 = √(5^2 × 2) = 5√2
Similarly, √28 can be simplified by finding the largest perfect square that divides 28 evenly. 28 is between 25 (5^2) and 36 (6^2), so the largest perfect square that divides 28 evenly is 25. Therefore, we can write:
√28 = √(4 × 7) = 2√7
Now we have:
5√2 + 2√7
Since the two terms have different radicands (2 and 7), they cannot be combined any further.
Therefore, the final answer is:
5√2 + 2√7
To add √26 and √28, you need to first simplify each of the square roots:
√26 can be written as √(13 * 2), which can be further simplified as √13 * √2.
Similarly, √28 can be written as √(14 * 2), which can be further simplified as √14 * √2.
Now, adding the simplified terms together:
√13 * √2 + √14 * √2 can be rewritten as (√13 + √14) * √2.
Therefore, the answer is (√13 + √14) * √2.
Please note that it is not possible to simplify this further.
Add 19−−√ + 19−−√ .(1 point)
To add √19 + √19, we can simply add the two square roots together:
√19 + √19 = 2√19
Therefore, the answer is 2√19.
Add 22−−√3 + 322−−√ + 22−−√ .(1 point)
To add √3 + √32 + √2, we need to simplify each square root individually and then add them together.
√3 is already simplified, so we don't need to make any changes to it.
To simplify √32, we can find the largest perfect square that divides 32 evenly. 32 is between 25 (5^2) and 36 (6^2), so the largest perfect square that divides 32 evenly is 4. Therefore, we can write:
√32 = √(4 × 8) = 2√8
Similarly, we can simplify √2 by leaving it as it is.
Now we have:
√3 + 2√8 + √2
Since the terms have different radicands (3, 8, and 2), they cannot be combined any further.
Therefore, the final answer is:
√3 + 2√8 + √2.
wrong bot from the quick check answer chocies
I apologize for the confusion. Can you please provide the answer choices provided in the quick check? That way, I can select the correct answer for you.
^3sqrt22+4sqrt 44
5 sqrt 22
5 sqrt 66
^3 sqrt22+4sqrt22
To add ^3sqrt22 + 4sqrt44, we can simplify the square roots first:
^3sqrt22 cannot be simplified further, so it remains as it is.
To simplify sqrt44, we find the largest perfect square that divides 44 evenly. 44 is between 36 (6^2) and 49 (7^2), so the largest perfect square that divides 44 is 4. Therefore, we can write sqrt44 as 2sqrt11.
Now we have:
^3sqrt22 + 4sqrt44 = ^3sqrt22 + 4(2sqrt11).
Since the terms have different radicands (22 and 11), they cannot be combined any further.
Therefore, the final answer is: ^3sqrt22 + 4(2sqrt11), which can also be written as ^3sqrt22 + 8sqrt11.
Subtract 823−−√−23−−√ . (1 point)
To subtract √823 - √23, we cannot simplify the square roots further, so we just subtract them as they are:
√823 - √23
Since the square roots have different radicands (823 and 23), we cannot combine them any further.
Therefore, the final answer is √823 - √23.
Jake runs 76–√ miles on Monday and 56–√ miles on Tuesday. What is the difference in miles run each day?(1 point)
To find the difference in miles run each day, we need to subtract the number of miles run on Tuesday from the number of miles run on Monday.
Difference in miles = Miles run on Monday - Miles run on Tuesday
= (76–√) - (56–√)
To simplify this, we can remove the square roots and perform the subtraction:
= 76 - 56 - √ - (-√)
= 20 - ( -√ )
= 20 + √
Therefore, the difference in miles run each day is 20 + √.