What is the square root of 25/16?
Understand the Problem
The question is asking for the square root of the fraction 25/16. To solve this, we will separately find the square roots of the numerator and the denominator.
Answer
The square root of $\frac{25}{16}$ is $\frac{5}{4}$.
Answer for screen readers
The final answer is $\frac{5}{4}$.
Steps to Solve
- Identify the Numerator and Denominator
We have the fraction $\frac{25}{16}$, where the numerator is 25 and the denominator is 16.
- Find the Square Root of the Numerator
Now, we find the square root of the numerator:
$$ \sqrt{25} = 5 $$
- Find the Square Root of the Denominator
Next, we find the square root of the denominator:
$$ \sqrt{16} = 4 $$
- Combine the Results
Now we combine the results of the two square roots. The square root of the fraction $\frac{25}{16}$ is:
$$ \sqrt{\frac{25}{16}} = \frac{\sqrt{25}}{\sqrt{16}} = \frac{5}{4} $$
The final answer is $\frac{5}{4}$.
More Information
The square root of a fraction is found by taking the square root of the numerator and the square root of the denominator separately. This property helps simplify calculations.
Tips
- A common mistake is forgetting to simplify the fraction after finding the square roots. Always ensure that the final answer is in its simplest form.
- Another mistake can occur by miscalculating the square roots, such as incorrectly finding $\sqrt{25}$ or $\sqrt{16}$.
