Question

Between which two integers on a number line does -√120 lie on?

Answer 1

-11 and -10

Explanation:

● -√120 = -1 × √120

● -√120 = -1 × 2√30

● 30 is close to 25 so √30 is close to five but greater than it.

Multiplying 5 by -2 gives -10

Multipluing √30 by -2 gives you a number that is close to -10 but smaller than it.

So -√120 lies between -11 and -10

Answer 2

-11 can be written as - root 121 and -10 can be written as -100. Since 100 < 120 < 121, it lies between -11 and -10.