How do you multiply $(3 \sqrt{5}) (2 \sqrt{10})$ $(3sqrt5)(2sqrt 10)$ ?

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How do you multiply $(3 \sqrt{5}) (2 \sqrt{10})$ $(3sqrt5)(2sqrt 10)$ ?

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Answer 1 · 2015-05-03T19:36:02

This is easier if we first rearrange the sequence of the terms:
$(3 \sqrt{5}) (2 \sqrt{10})$ $(3sqrt(5))(2sqrt(10))$

$= (3 \cdot 2) (\sqrt{5} \cdot \sqrt{10})$ $= (3*2)(sqrt(5)*sqrt(10))$

Noting that $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ $sqrt(a)*sqrt(b) = sqrt(a*b)$
and that $\sqrt{10} = \sqrt{5} (\sqrt{2}$ $sqrt(10) = sqrt(5)(sqrt(2)$

We can write
$= (6) (5 \sqrt{2})$ $= (6)(5sqrt(2))$

$= 30 \sqrt{2}$ $=30sqrt(2)$

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How do you multiply $(3 \sqrt{5}) (2 \sqrt{10})$ $(3sqrt5)(2sqrt 10)$ ?

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