How do you simplify #sqrt(512)#?

1 Answer
Feb 19, 2016

Answer:

#= 2^( 9 /2)#

Explanation:

#sqrt(512#

We first prime factorise #512# (ie; express it as a product of its prime factors)

#512 = 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2#

#512 = 2^9#

#sqrt512 = sqrt(2^9)#

#= 2^( 9 xx 1/2)#

(note: square root is also called half root)

#= 2^( 9 /2)#