How do you simplify #sqrt(729)#?

1 Answer
Feb 19, 2016

Answer:

# = 27#

Explanation:

#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#