How do you simplify sqrt(729)?

Feb 19, 2016

$= 27$

Explanation:

$\sqrt{729}$

We first simplify $729$ by expressing it as a product of primes (its prime factors).

$729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3$

$729 = {3}^{6}$

sqrt729 = sqrt(3^6

Note: square root is also called half root.

$\sqrt{{3}^{6}} = {3}^{6 \times \frac{1}{2}}$

$= {3}^{3}$

$= 27$