What is the square root of 4/49?
Understand the Problem
The question is asking for the square root of the fraction 4/49. To solve this, we will find the square root of the numerator (4) and the denominator (49) separately.
Answer
$\frac{2}{7}$
Answer for screen readers
The final answer is $\frac{2}{7}$.
Steps to Solve
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Identify the square root of the numerator
The numerator of the fraction is 4. The square root of 4 can be calculated as follows:
$$ \sqrt{4} = 2 $$ -
Identify the square root of the denominator
The denominator of the fraction is 49. The square root of 49 can be calculated as follows:
$$ \sqrt{49} = 7 $$ -
Combine the square roots
Now that we have both square roots, we can form the square root of the entire fraction:
$$ \sqrt{\frac{4}{49}} = \frac{\sqrt{4}}{\sqrt{49}} = \frac{2}{7} $$
The final answer is $\frac{2}{7}$.
More Information
The square root operation on fractions can be broken down into the square roots of the numerator and the denominator. It's a useful property that helps simplify problems involving square roots.
Tips
- A common mistake is to find the square root of the fraction as a whole instead of finding the square roots of the numerator and denominator separately. This can lead to incorrect results.
- Another mistake is forgetting to simplify the fraction if possible after finding the square roots.
