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

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Answer 1 · 2018-03-14T23:57:44

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

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#