Question

Between which two integers does -√45 lie?

Answer 1

$\sf{6^2<(\sqrt{45} )^2<7^2$

This implies that:-

$\sf{6<\sqrt{45} <7}$

→ $\sf{-7<-\sqrt{45} <-6}$

So it lies between two integers -7 and -6.

Underlying Concept

• Inequality

The inequality of squaring only applies to the positive numbers.

So we find the range of the positive square root.