Question

Estimate the Square root of 256.

Answer 1

Unit digit of 256 = 6

$\therefore \text{unit digit of square root}=4\text{or}6$

Discard 56, digit remaining is 2.

$1^2<2<2^2$

$\text{So 256 must be}{14}^2\text{or}{16}^2$

$\text{As we know that}{15}^2=225\text{so,}$

$\sqrt{256}=16.$