How do you order the following from least to greatest #-sqrt1, 0.1, sqrt13, -3/5, sqrt6#?

1 Answer
Apr 23, 2017

Answer:

#-sqrt(1), -3/5, 0.1, sqrt(6), sqrt(13)#

Explanation:

Negative numbers are the smallest, so we need to pick between #-sqrt(1) = -1, " and "-3/5 = -.6#.

Since #-5/5 = -1, -3/5 " must be greater than " -1#

Since #sqrt(1) = 1, 0.1 < sqrt(1) < sqrt(6) < sqrt(13)#

Also,

#sqrt(4) = 2# so #sqrt(6) > sqrt(4)#

From a calculator #sqrt(6) ~~ 2.4495#

From a calculator #sqrt(13) ~~ 3.61#

So from least to greatest: #-sqrt(1), -3/5, 0.1, sqrt(6), sqrt(13)#