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#