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

1 Answer
Apr 23, 2017

-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)