Question

Find the square root of the following number by the prime factorisation method.
$1936$

Answer 1

The factors of $1936$ is,

$1936=2\times 2\times 2\times 2\times 11\times 11$

Take square root both sides,

$\sqrt{1936}=\sqrt{2\times 2\times 2\times 2\times 11\times 11}$

$=\sqrt{2^4\times {11}^2}$

$=\sqrt{{\left({\left(2\right)}^2\times 11\right)}^2}$

$=4\times 11$

$=44$

Therefore, the square root of 1936 is 44.