Identify square roots: Identify the square roots of the numerator and the denominator separately. 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.Calculate numerator square root: Calculate the square root of the numerator, which is 64. The square root of 64 is 8 because 8 times 8 equals 64.Calculate denominator square root: Calculate the square root of the denominator, which is 121. The square root of 121 is 11 because 11 times 11 equals 121.Write square root as fraction: Write the square root of the fraction as the fraction of the square roots. The square root of the fraction 64/121 is equal to the square root of 64 divided by the square root of 121.Simplify expression: Simplify the expression by dividing the square roots found in steps 2 and 3. The simplified form is 8 divided by 11, which is the square root of 64 divided by the square root of 121.

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$\sqrt{\frac{64}{121}}=$

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Algebra 1

Simplify radical expressions

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\sqrt{\frac{64}{121}}=

Identify square roots: Identify the square roots of the numerator and the denominator separately. $\newline$ The square root of a fraction can be found by taking the square root of the numerator $\sqrt{\text{numerator}}$ and the square root of the denominator $\sqrt{\text{denominator}}$ separately.
Calculate numerator square root: Calculate the square root of the numerator, which is $64$ . The square root of $64$ is $8$ because $8 \times 8$ equals $64$ .
Calculate denominator square root: Calculate the square root of the denominator, which is $121$ . $\newline$ The square root of $121$ is $11$ because $11 \times 11$ equals $121$ .
Write square root as fraction: Write the square root of the fraction as the fraction of the square roots. $\newline$ The square root of the fraction $\frac{64}{121}$ is equal to the square root of $64$ divided by the square root of $121$ .
Simplify expression: Simplify the expression by dividing the square roots found in steps $2$ and $3$ . $\newline$ The simplified form is $\frac{8}{11}$ , which is the square root of $\frac{64}{121}$ .