# What is the square root of 15876?

Sep 22, 2015

=color(blue)(216

#### Explanation:

We can find the square root by prime factorising $15876$
(expressing it as a product of its prime factors)

sqrt(15876)=sqrt(2 *2 *3 *3 *3 *3 *7 *7

=sqrt(2^2 *3^2 *3^2 *7^2

$= 2 \cdot 3 \cdot 3 \cdot 7$

=color(blue)(216