How do you simplify $(3 \cdot \sqrt{12}) (\sqrt{6})$ $(3*sqrt12)(sqrt6)$ ?

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How do you simplify $(3 \cdot \sqrt{12}) (\sqrt{6})$ $(3*sqrt12)(sqrt6)$ ?

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Answer 1 · 2015-06-23T14:24:13

I found; $18 \cdot \sqrt{2}$ $18*sqrt(2)$

Explanation:

I would write it as:
$(3 \cdot \sqrt{4 \cdot 3}) (\sqrt{6}) = (3 \cdot 2 \cdot \sqrt{3}) (\sqrt{6}) =$ $(3*sqrt(4*3))(sqrt(6))=(3*2*sqrt(3))(sqrt(6))=$

$= 6 \cdot \sqrt{3} \cdot \sqrt{6} = 6 \cdot \sqrt{18} = 6 \cdot \sqrt{9 \cdot 2} =$ $=6*sqrt(3)*sqrt(6)=6*sqrt(18)=6*sqrt(9*2)=$

$= 6 \cdot 3 \cdot \sqrt{2} = 18 \cdot \sqrt{2}$ $=6*3*sqrt(2)=18*sqrt(2)$

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How do you simplify $(3 \cdot \sqrt{12}) (\sqrt{6})$ $(3*sqrt12)(sqrt6)$ ?

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How do you simplify (3*sqrt12)(sqrt6)(3⋅√12)(√6)(3*sqrt12)(sqrt6)?

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How do you simplify $(3 \cdot \sqrt{12}) (\sqrt{6})$ $(3*sqrt12)(sqrt6)$ ?