square root of 36/49
Understand the Problem
The question is asking for the square root of the fraction 36/49. To solve this, we can find the square root of the numerator (36) and the denominator (49) separately, then express the result as a fraction.
Answer
The square root of \( \frac{36}{49} \) is \( \frac{6}{7} \).
Answer for screen readers
The final answer is ( \frac{6}{7} ).
Steps to Solve
- Find the square root of the numerator
We start by calculating the square root of the numerator, which is 36.
The square root of 36 is:
$$ \sqrt{36} = 6 $$
- Find the square root of the denominator
Next, we calculate the square root of the denominator, which is 49.
The square root of 49 is:
$$ \sqrt{49} = 7 $$
- Express the result as a fraction
Now that we have the square roots of both the numerator and the denominator, we can express the final answer as a fraction:
$$ \sqrt{\frac{36}{49}} = \frac{\sqrt{36}}{\sqrt{49}} = \frac{6}{7} $$
The final answer is ( \frac{6}{7} ).
More Information
The square root of a fraction can be simplified by taking the square root of the numerator and the denominator separately. This is a useful property in mathematics and can make calculations easier.
Tips
- A common mistake is trying to take the square root of the fraction as a whole without simplifying it first. Always remember to separate the numerator and denominator for easier calculations.
