what is the square root of 324?

what is the square root of 324?

Answer

# 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