# How do you simplify #sqrt(6889)#?

##### 1 Answer

Apr 1, 2016

We would try to find perfect squares that divide

Let's try starting at

#80^2 = 6400# #81^2 = 80*80 + color(highlight)(81 + 80) = 6400 + color(green)(161) = 6561# #82^2 = 81*81 + color(highlight)(82 + 81) = 6561 + color(green)(163) = 6724# #83^2 = 82*82 + color(highlight)(83 + 82) = 6724 + color(green)(165) = 6889#

Well... there you have it.