square root of 1/4 in fraction
Understand the Problem
The question is asking for the square root of the fraction 1/4. To solve this, we will find the square root of both the numerator and the denominator separately.
Answer
The square root of $\frac{1}{4}$ is $\frac{1}{2}$.
Answer for screen readers
The square root of the fraction $\frac{1}{4}$ is $\frac{1}{2}$.
Steps to Solve
- Identify the fraction
We start with the fraction $\frac{1}{4}$.
- Find the square root of the numerator
The numerator is 1. The square root of 1 is:
$$ \sqrt{1} = 1 $$
- Find the square root of the denominator
The denominator is 4. The square root of 4 is:
$$ \sqrt{4} = 2 $$
- Combine the results
Now, we combine the square roots of the numerator and denominator:
$$ \sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2} $$
The square root of the fraction $\frac{1}{4}$ is $\frac{1}{2}$.
More Information
Finding the square root of a fraction involves taking the square root of the numerator and the denominator separately. In this case, $\sqrt{\frac{1}{4}}$ simplifies to $\frac{1}{2}$, which is a very common fraction.
Tips
- A common mistake is to forget that you can take the square root of the numerator and the denominator separately. Always remember that $\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$.
