How do you multiply $- 2 \sqrt{10} \cdot \sqrt{8}$ $-2sqrt10*sqrt8$ ?

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How do you multiply $- 2 \sqrt{10} \cdot \sqrt{8}$ $-2sqrt10*sqrt8$ ?

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Answer 1 · 2015-06-04T22:08:39

$- 2 \sqrt{10} \cdot \sqrt{8} = - 2 \sqrt{10 \cdot 8} = - 2 \sqrt{80}$ $-2sqrt(10)*sqrt(8) = -2sqrt(10*8) = -2sqrt(80)$

$= - 2 \sqrt{16 \cdot 5} = - 2 \sqrt{16} \sqrt{5} = - 2 \cdot 4 \sqrt{5} = - 8 \sqrt{5}$ $= -2sqrt(16*5) = -2sqrt(16)sqrt(5) = -2*4sqrt(5) = -8sqrt(5)$

...using $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ $sqrt(a)*sqrt(b) = sqrt(a*b)$

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How do you multiply $- 2 \sqrt{10} \cdot \sqrt{8}$ $-2sqrt10*sqrt8$ ?

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How do you multiply $- 2 \sqrt{10} \cdot \sqrt{8}$ $-2sqrt10*sqrt8$ ?