How do you simplify $2 \sqrt{24} \cdot \sqrt{16}$ $2sqrt24 * sqrt16$ ?

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How do you simplify $2 \sqrt{24} \cdot \sqrt{16}$ $2sqrt24 * sqrt16$ ?

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Answer 1 · 2015-04-30T13:59:29

Consider that:
$\sqrt{16} = 4$ $sqrt(16)=4$
$\sqrt{24} = \sqrt{6 \cdot 4} = 2 \sqrt{6}$ $sqrt(24)=sqrt(6*4)=2sqrt(6)$
And $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ $sqrt(a)*sqrt(b)=sqrt(a*b)$
So:
$= 2 \cdot 2 \sqrt{6} \cdot 4 = 16 \sqrt{6}$ $=2*2sqrt(6)*4=16sqrt(6)$

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How do you simplify $2 \sqrt{24} \cdot \sqrt{16}$ $2sqrt24 * sqrt16$ ?

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