Question

Without using a calculator, determine between which two consecutive integers the square root lies.


√84

__<√84<__

Answer 1

Answer:

It lies between 9 and 10.

Step-by-step explanation:

$\sqrt{81} = 9 \\ \\ \sqrt{100} = 10 \\ \\ \therefore \: \sqrt{81} < \sqrt{84} < \sqrt{100} \\ \\ \huge \therefore \red{ \boxed{ 9}} < \orange{\sqrt{84}} < \purple {\boxed {10}}$