Question

What is the square root of $28$in simplified radical form?

Answer 1

Determine the square root of$28$.

The square root of a number is the value that returns the original number when multiplied by itself.

Find the prime factors of $28$:

$28=2\times 2\times 7$

Take the square root from both sides of the above equation:

$$\begin{gathered} \sqrt{28}=\sqrt{2\times 2\times 7} \\ \Rightarrow \sqrt{28}=2\times \sqrt{7} \\ \Rightarrow \sqrt{28}=2\sqrt{7} \end{gathered}$$

Hence, the square root of $28$is $2\sqrt{7}$.