Question

write the quotient in its simplest form.
\\(\sqrt{\frac{64}{4}}\\)
\\(\sqrt{\frac{64}{4}} = \square\\)
(type an exact answer, using radicals as needed.)

Explanation:

Step1: Simplify the fraction inside the square root

First, we simplify the fraction \(\frac{64}{4}\). Dividing 64 by 4 gives us 16. So, the expression becomes \(\sqrt{16}\).

Step2: Take the square root of 16

The square root of 16 is a number that, when multiplied by itself, gives 16. We know that \(4\times4 = 16\) and \((-4)\times(-4)=16\), but since we are looking for the principal (non - negative) square root in this context (as it's a quotient in simplest form without a negative sign indicated), \(\sqrt{16}=4\).

Answer:

4