Between which two integers does -√45 lie?

1.	Between which two integers does -√45 lie?
Answer» align="ABSMIDDLE" alt="\sf{6^2" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%7B6%5E2%3C%28%5Csqrt%7B45%7D%20%29%5E2%3C7%5E2" title="\sf{6^2"> This implies that:- $\sf{6$ → $\sf{-7$ 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.

Answer»

align="ABSMIDDLE" alt="\sf{6^2" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%7B6%5E2%3C%28%5Csqrt%7B45%7D%20%29%5E2%3C7%5E2" title="\sf{6^2">

This implies that:-

$\sf{6$

→ $\sf{-7$

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.

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Between which two integers does -√45 lie?

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