What is the square root of 64/25?
Understand the Problem
The question is asking to find the square root of the fraction 64/25. This involves calculating the square root of the numerator (64) and the denominator (25) separately.
Answer
$\frac{8}{5}$
Answer for screen readers
The final answer is $\frac{8}{5}$.
Steps to Solve
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Find the square root of the numerator To find the square root of the numerator, we take the square root of 64. The square root of 64 is 8 because $8 \times 8 = 64$.
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Find the square root of the denominator Next, we find the square root of the denominator, which is 25. The square root of 25 is 5 because $5 \times 5 = 25$.
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Form the final result Once we have the square roots of the numerator and the denominator, we can form the fraction. This is done by placing the square root of the numerator over the square root of the denominator: $$ \sqrt{\frac{64}{25}} = \frac{\sqrt{64}}{\sqrt{25}} = \frac{8}{5} $$
The final answer is $\frac{8}{5}$.
More Information
The square root of a fraction can be simplified by separately taking the square root of the numerator and the denominator. This property makes it easier to solve fractional square roots.
Tips
- Forgetting to take the square root of both the numerator and the denominator.
- Confusing the square root symbols, leading to incorrect simplifications.
