How do you simplify $sqrt(729)$ ?

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Answer 1 · 2016-02-19T12:32:17

$= 27$

$sqrt 729$

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

$729 = 3 xx 3xx 3xx 3xx 3 xx 3$

$729 = 3^6$

$sqrt729 = sqrt(3^6$

Note: square root is also called half root.

$sqrt(3^6) = 3 ^(6xx1/2)$

$=3 ^(3)$

$= 27$

How do you simplify sqrt(729)sqrt(729)?