Question Find the square root of the fraction 64/121.

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\sqrt{\frac{64}{121}}$ to solve. . We know that the square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.

STEP 2

We can rewrite the expression as the square root of the numerator divided by the square root of the denominator.
$\sqrt{\frac{64}{121}} = \frac{\sqrt{64}}{\sqrt{121}}$

STEP 3

Calculate the square root of the numerator, which is64.
$\sqrt{64} =8$

STEP 4

Calculate the square root of the denominator, which is121.
$\sqrt{121} =11$

STEP 5

Substitute the square roots back into the expression.
$\frac{\sqrt{64}}{\sqrt{121}} = \frac{8}{11}$ The solution to $\sqrt{\frac{64}{121}}$ is $\frac{8}{11}$ .

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Question Find the square root of the fraction 64/121.

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\sqrt{\frac{64}{121}}$ to solve. . We know that the square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.

STEP 2

We can rewrite the expression as the square root of the numerator divided by the square root of the denominator.
$\sqrt{\frac{64}{121}} = \frac{\sqrt{64}}{\sqrt{121}}$

STEP 3

Calculate the square root of the numerator, which is64.
$\sqrt{64} =8$

STEP 4

Calculate the square root of the denominator, which is121.
$\sqrt{121} =11$

STEP 5

Substitute the square roots back into the expression.
$\frac{\sqrt{64}}{\sqrt{121}} = \frac{8}{11}$ The solution to $\sqrt{\frac{64}{121}}$ is $\frac{8}{11}$ .

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Question Find the square root of the fraction 64/121.

Studdy Solution

STEP 1

Assumptions1. We are given the expression 64121\sqrt{\frac{64}{121}}12164​​ to solve. . We know that the square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.

STEP 2

We can rewrite the expression as the square root of the numerator divided by the square root of the denominator.64121=64121\sqrt{\frac{64}{121}} = \frac{\sqrt{64}}{\sqrt{121}}12164​​=121​64​​

STEP 3

Calculate the square root of the numerator, which is64.64=8\sqrt{64} =864​=8

STEP 4

Calculate the square root of the denominator, which is121.121=11\sqrt{121} =11121​=11

STEP 5

Substitute the square roots back into the expression.64121=811\frac{\sqrt{64}}{\sqrt{121}} = \frac{8}{11}121​64​​=118​The solution to 64121\sqrt{\frac{64}{121}}12164​​ is 811\frac{8}{11}118​.

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Assumptions1. We are given the expression $\sqrt{\frac{64}{121}}$ to solve. . We know that the square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.

We can rewrite the expression as the square root of the numerator divided by the square root of the denominator.
$\sqrt{\frac{64}{121}} = \frac{\sqrt{64}}{\sqrt{121}}$

Calculate the square root of the numerator, which is64.
$\sqrt{64} =8$

Calculate the square root of the denominator, which is121.
$\sqrt{121} =11$

Substitute the square roots back into the expression.
$\frac{\sqrt{64}}{\sqrt{121}} = \frac{8}{11}$ The solution to $\sqrt{\frac{64}{121}}$ is $\frac{8}{11}$ .