What is the square root of 32 over 4, expressed in the simplest radical form?

Question

kizintefevd3 · Accepted Answer

Determine the square root of 32 over 4, expressed in the simplest radical form.
When a number is multiplied by itself, its square root returns the original number.
Find the prime factors of

\frac{32}{4}

:

\frac{32}{4} = \frac{2 \times 4 \times 4}{2 \times 2}

Take square root from both sides of the above equation:

\sqrt{\frac{32}{4}} = \sqrt{\frac{2 \times 4 \times 4}{2 \times 2}} \Rightarrow \sqrt{\frac{32}{4}} = \frac{\sqrt{2 \times 4 \times 4}}{\sqrt{2 \times 2}} \Rightarrow \sqrt{\frac{32}{4}} = \frac{4}{2} \sqrt{2} \Rightarrow \sqrt{\frac{32}{4}} = 2 \sqrt{2}

Thus, the square root of 32 over 4, expressed in the simplest radical form is

2 \sqrt{2}

What is the square root of 32 over 4, expressed in the simplest radical form?

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