Question

What is the square root of $12?$

• A. $\sqrt{12}$
• B. $144$
• C. $2\sqrt{3}$
• D. $3\sqrt{2}$

Answer 1

Answer: (A), (C)

$2\sqrt{3}$

Let square root of $12$ be $a.$
$\therefore$ When $a$ is multiplied by itself, it will result $12.$
$\Rightarrow 12=a\times a$
$\Rightarrow 12=a^2$
$\Rightarrow \sqrt{12}=a$

Expanding $12$ into its factors,
$\Rightarrow \sqrt{4\times 3}=a$
$\Rightarrow \sqrt{2^2\times 3}=a$
$\Rightarrow \sqrt{2^2}\times \sqrt{3}=a$
$\Rightarrow 2\times \sqrt{3}=a$
$\Rightarrow 2\sqrt{3}=a$