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.

$24sqrt2$

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