Question

Find the square root of the number 729 by the prime factorisation method.

Answer 1

$729$ can be written as:

$729=3\times 243$

$=3\times 3\times 81$

$=3\times 3\times 27$

$=3\times 3\times 3\times 9$

$=3\times 3\times 3\times 3\times 3\times 3$

Taking root on both the sides, we get

$\sqrt{729}=\sqrt{3\times 3\times 3\times 3\times 3\times 3}$

$=3\times 3\times 3$

$=27$