Square root of 131 lies between which two numbers?

1 Answer
May 21, 2018

11 and 12

Explanation:

To figure this out, write out the squares of numbers. Wherever the number lies between the squares, it's square root will lie between those square roots.

#10^2 = 100#
#11^2 = 121#
#12^2 = 144# #color(white)0stackrel(color(red)larr color(red)"131 lies between these two"#
#13^2 = 169#

#131# lies between #121# and #144#, so it's square root will lie between their square roots. It will be between #11# and #12#.

CHECK: What is the #sqrt131#?

#sqrt131 = 11.45#

This number between #11# and #12#, so the answer is correct.