Question

Let us estimate the value of root70 to nearest whole number.

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

For any real number x there exists a whole number n such that

$n < x < (n + 1)$

Then n + 1 is the smallest whole number greater than x and n is the greatest whole number less than x

EVALUATION

We have

$64 < 70 < 81$

$\implies \: \sqrt{64} < \sqrt{70} < \sqrt{81}$

$\implies \:8 < \sqrt{70} < 9$

Which is the required estimation

Where 9 is the smallest whole number greater than $\sqrt{70}$ and 8 is the greatest whole number less than $\sqrt{70}$