# How do you find the square root of 3481?

##### 1 Answer

Feb 7, 2017

#### Explanation:

Normally when faced with a large number to find the square root of you would see what prime factors it has.

Split it into pairs of digits starting from the right to get:

#34"|"81#

Looking at the most significant pair of digits, what is the square root of

We know

Hence

Let us try

#59^2 = (60-1)^2=60^2-2*60+1 = 3600-120+1 = 3481#

So:

#sqrt(3481) = 59#