Questions: Find the square root. If the square root
[
sqrtfrac64169
]
sqrtfrac64169= square (Simplify your answer.)
Transcript text: Find the square root. If the square ro
\[
\sqrt{\frac{64}{169}}
\]
$\sqrt{\frac{64}{169}}=$ $\square$ (Simplify your answer.)
Solution
Solution Steps
To find the square root of a fraction, take the square root of the numerator and the square root of the denominator separately. Simplify the resulting fraction if possible.
Step 1: Calculate the Square Root of the Numerator
The numerator of the fraction is 64. The square root of 64 is calculated as follows:
64=8
Step 2: Calculate the Square Root of the Denominator
The denominator of the fraction is 169. The square root of 169 is calculated as follows:
169=13
Step 3: Form the Simplified Fraction
Using the results from Steps 1 and 2, form the fraction:
16964=138
Final Answer
The simplified square root of the fraction 16964 is:
138