How do you simplify the square root of 2466?

Jun 27, 2018

See a solution process below:

Explanation:

First, rewrite the expression as:

$\sqrt{2466} \implies \sqrt{9 \cdot 274}$

Then use this rule for radicals to simplify the expression:

$\sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}}$

$\sqrt{\textcolor{red}{9} \cdot \textcolor{b l u e}{274}} \implies \sqrt{\textcolor{red}{9}} \cdot \sqrt{\textcolor{b l u e}{274}} \implies 3 \sqrt{274}$