What is the product of 33 and 10, square root of, 40, end square root10
40
in simplest radical form?
The product of 33 and the square root of 40 is:
33 * √40
To simplify the radical form, we need to factorize the number inside the square root:
√(4 * 10)
We can then take out any perfect square factor from under the square root:
2√10
Therefore, the product of 33 and the square root of 40 in simplest radical form is 2√10.
To simplify the expression 33 * √(40) * √(10), we can follow these steps:
Step 1: Simplify the square root terms individually:
√40 = √(4 * 10) = √4 * √10 = 2√10
Step 2: Substitute the simplified square root terms back into the expression:
33 * 2√10 * √10
Step 3: Simplify the expression by multiplying the numbers outside the square root:
33 * 2 * √10 * √10 = 66√10 * √10
Step 4: Combine the square root terms:
√10 * √10 = √(10 * 10) = √100 = 10
Step 5: Substitute the combined square root value back into the expression:
66 * 10 = 660
Therefore, the product of 33, √(40), and √(10) simplified in simplest radical form is 660.
To simplify the given expression in simplest radical form, let's break it down step by step:
Step 1: Find the product of 33 and 10.
To get the product of 33 and 10, multiply the two numbers together: 33 x 10 = 330.
Step 2: Simplify the square root of 40.
To simplify the square root of 40, we need to find the largest perfect square that divides 40. In this case, the largest perfect square is 4, which is the square of 2. So, we can rewrite the square root of 40 as the square root of (4 x 10).
Step 3: Simplify the expression inside the square root.
The square root of 4 is equal to 2, so we can write the expression as 2 x square root of 10.
Step 4: Multiply the two simplified expressions.
Now we can multiply the result from step 1 (330) by the result from step 3 (2 x square root of 10). This gives us 330 x (2 x square root of 10).
Step 5: Simplify the expression further.
To simplify the expression further, we multiply the coefficients: 330 x 2 = 660. Therefore, the simplified expression is 660 x square root of 10.
In conclusion, the product of 33 and 10, square root of 40, square root 10 in simplest radical form is 660 x square root 10.
Express in simplest radical form.
start fraction, square root of, 1134, end square root, divided by, square root of, 7, end square root, end fraction
7
1134
To express the fraction √1134 / √7 in simplest radical form, we can simplify the square root terms individually and then divide:
Step 1: Simplify the square roots:
√1134 = √(2 * 3^2 * 7^2) = 3 * 7√2 = 21√2
√7 = √(7) = √7
Step 2: Divide the square root terms:
(21√2) / (√7)
Step 3: Rationalize the denominator by multiplying both the numerator and the denominator by √7:
(21√2 * √7) / (√7 * √7) = (21√14) / 7
Step 4: Simplify the expression:
21√14 / 7 = 3√14
Therefore, the expression √1134 / √7 simplified in simplest radical form is 3√14.
pls try again
I apologize for the previous response. Let's simplify the fraction √1134 / √7 in simplest radical form:
Step 1: Simplify the square roots:
√1134 = √(2 * 3^2 * 7^2) = 3 * 7√2 = 21√2
√7 = √(7)
Step 2: Divide the square root terms:
(21√2) / (√7)
Step 3: Rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator (√7):
((21√2) / (√7)) * (√7 / √7) = (21√2 * √7) / 7
Step 4: Simplify the expression:
(21√14) / 7 = 3√14
Therefore, the expression √1134 / √7 simplified in simplest radical form is 3√14.