Question

square root of a certain number is approximately 9.2371. The cedrain number is between what 2 integers.

Answer 1

Use the fact that $a<x<b\implies\sqrt a<\sqrt x<\sqrt b$ for non-negative $a,b$.

$\sqrt{81}=9$ and $\sqrt{100}=10$, which means the square root of some number between 81 and 100 has an approximate value of 9.2371.