How do you order the following from least to greatest #-sqrt8, -3.1, sqrt15, (-2)^2, -sqrt11#?

1 Answer
Mar 28, 2017

These numbers from least to greatest are

#{-sqrt11,-3.1,-sqrt8,sqrt15,(-2)^2}#

Explanation:

The best way to compare is to convert each number into decimal form, up to certain places of decimal say #4# and then compare them

#-sqrt8=-2sqrt2=-2xx1.4142=-2.8284#

#-3.1=-3.1000#

#sqrt15=3.8730#

#(-2)^2=4.0000#

#-sqrt11=-3.3166#

Hence, these numbers from least to greatest are

#{-sqrt11,-3.1,-sqrt8,sqrt15,(-2)^2}#