Question

The square of a whole number 'n' lies between 80 and 150. Find all possible values for 'n'.

Answer 1

The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.

$\sqrt{80} \approx 8.9 \\ \sqrt{150} \approx 12.2$

n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.

The possible values for n are 9, 10, 11, and 12.