How do you simplify #sqrt(144* 8)#?

1 Answer
Mar 14, 2018

Answer:

#sqrt(144*8)=color(blue)(24sqrt2#

Explanation:

Simplify:

#sqrt(144*8)#

Apply square root rule: #sqrt(ab)=sqrtasqrtb#

#sqrt144sqrt8#

Simplify.

#12sqrt8#

Prime factorize #sqrt8#.

#12sqrt(2*2*2)=#

#12sqrt(2^2*2)#

Apply square root rule: #sqrt(a^2)=a#

#12xx2sqrt2#

Simplify.

#24sqrt2#