How do you simplify $\sqrt{144 \cdot 8}$ $sqrt(144* 8)$ ?

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Answer 1 · 2018-03-14T23:57:44

$\sqrt{144 \cdot 8} = 24 \sqrt{2}$ $sqrt(144*8)=color(blue)(24sqrt2$

Simplify:

$\sqrt{144 \cdot 8}$ $sqrt(144*8)$

Apply square root rule: $\sqrt{a b} = \sqrt{a} \sqrt{b}$ $sqrt(ab)=sqrtasqrtb$

$\sqrt{144} \sqrt{8}$ $sqrt144sqrt8$

Simplify.

$12 \sqrt{8}$ $12sqrt8$

Prime factorize $\sqrt{8}$ $sqrt8$ .

$12 \sqrt{2 \cdot 2 \cdot 2} =$ $12sqrt(2*2*2)=$

$12 \sqrt{2^{2} \cdot 2}$ $12sqrt(2^2*2)$

Apply square root rule: $\sqrt{a^{2}} = a$ $sqrt(a^2)=a$

$12 \times 2 \sqrt{2}$ $12xx2sqrt2$

Simplify.

$24 \sqrt{2}$ $24sqrt2$

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