What is the square root of 16/9?
Understand the Problem
The question is asking us to find the square root of the fraction 16/9, which involves calculating the square root of both the numerator and denominator separately.
Answer
$\frac{4}{3}$
Answer for screen readers
The square root of the fraction $\frac{16}{9}$ is $\frac{4}{3}$.
Steps to Solve
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Identify the square root operation
We need to find the square root of the fraction $\frac{16}{9}$. The property of square roots allows us to find the square root of a fraction by taking the square root of the numerator and the denominator separately. -
Calculate the square root of the numerator
The numerator is 16. We calculate:
$$ \sqrt{16} = 4 $$ -
Calculate the square root of the denominator
The denominator is 9. We calculate:
$$ \sqrt{9} = 3 $$ -
Combine the results
Now we can combine the square roots of the numerator and denominator:
$$ \sqrt{\frac{16}{9}} = \frac{\sqrt{16}}{\sqrt{9}} = \frac{4}{3} $$
The square root of the fraction $\frac{16}{9}$ is $\frac{4}{3}$.
More Information
Finding the square root of a fraction involves simplifying it into the square roots of the individual parts. In this case, knowing perfect squares like 16 and 9 helps compute square roots easily.
Tips
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