QuestionFind the value of $\sqrt{\frac{16}{49}}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the square root of the fraction $\frac{16}{49}$ .

STEP 2

The square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.
$\sqrt{\frac{16}{49}} = \frac{\sqrt{16}}{\sqrt{49}}$

STEP 3

Now, calculate the square root of the numerator and the denominator.
$\sqrt{16} =$ $\sqrt{49} =7$

STEP 4

Substitute the square roots back into the fraction.
$\frac{\sqrt{16}}{\sqrt{49}} = \frac{4}{7}$ So, $\sqrt{\frac{16}{49}} = \frac{4}{7}$ .

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