What is the square root of 25/64?
Understand the Problem
The question is asking to find the square root of the fraction 25/64. To solve this, we need to take the square root of both the numerator (25) and the denominator (64) separately.
Answer
The square root of the fraction $\frac{25}{64}$ is $\frac{5}{8}$.
Answer for screen readers
The square root of the fraction $\frac{25}{64}$ is $\frac{5}{8}$.
Steps to Solve
- Identify the square root of the numerator
We start by finding the square root of the numerator, which is 25.
The square root of 25 is: $$ \sqrt{25} = 5 $$
- Identify the square root of the denominator
Next, we find the square root of the denominator, which is 64.
The square root of 64 is: $$ \sqrt{64} = 8 $$
- Combine the results
Now we can combine the results from steps 1 and 2 to write the square root of the fraction.
Therefore, the square root of $\frac{25}{64}$ is: $$ \sqrt{\frac{25}{64}} = \frac{\sqrt{25}}{\sqrt{64}} = \frac{5}{8} $$
The square root of the fraction $\frac{25}{64}$ is $\frac{5}{8}$.
More Information
The square root of a fraction can be found by taking the square root of the numerator and the denominator separately. This method is useful when dealing with square roots of any rational numbers.
Tips
- Not simplifying the square roots: Make sure to simplify both the numerator and the denominator before combining them.
- Confusing the order: Remember to take the square root of the numerator and the denominator separately before combining the results.
