What is the square root of 169?

2 Answers
Sep 13, 2015

Answer:

13

Explanation:

The answer is 13

Aug 31, 2016

Answer:

#169 = 13#

This is the principal root.
The root can be #+-13#

Explanation:

We are looking for a number which, multiplied by itself makes 169.

#x^2 = 169#

It is a huge advantage in your Maths to know all the squares up to #20^2# by heart.

#12^2 =144#
#13^2 = 169#

Bu estimating....

#10^2 = 100 and 20^2 = 400#

So, #sqrt169# lies between 10 and 20.
If you find it by estimating, the number 9 at the end means that the square root must end in a 3 or a 7.

The only options are #13^2 and 17^2#
Multiplying gives #13^2 = 169 and 17^2 = 289#