Question

Which one is the correct square root of $56$.

• A. $2\sqrt{14}$
• B. $2\sqrt{7}$
• C. none of these
• D. $3\sqrt{14}$

Answer 1

The correct option is A

$2\sqrt{14}$

We have to find the square root of $56$ but we know that $56$ is not a perfect square.

We can express $56$ in prime factorization form.

$56=2\times 2\times 2\times 7$

Taking square root on both sides, we get

$$\begin{gathered} \sqrt{56}=\sqrt{\left(2\times 2\times 2\times 7\right)} \\ \sqrt{56}=2\sqrt{\left(2\times 7\right)} \\ \sqrt{56}=2\sqrt{14} \end{gathered}$$

Hence option $A$ is the correct answer.