what is the square root of 324?

Explanation:

Step1: Recall square - root concept

Let $x = \sqrt{324}$, we need to find a number $x$ such that $x\times x=324$.

Step2: Factorize 324

$324 = 2\times162=2\times2\times81 = 2^2\times9^2$.

Step3: Calculate square - root

$\sqrt{324}=\sqrt{2^2\times9^2}=2\times9 = 18$. Also, $(- 18)\times(-18)=324$, but usually when we say $\sqrt{324}$ we mean the principal (non - negative) square root.

Answer:

18