How do you simplify $- 4 \sqrt{15} \cdot - \sqrt{3}$ $-4sqrt15*-sqrt3$ ?

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Answer 1 · 2017-06-03T10:46:01

$12 \sqrt{5}$ $12sqrt5$

Given, $- 4 \sqrt{15} \cdot - \sqrt{3} = (- \times -) 4 \sqrt{3 \cdot 5} \cdot \sqrt{3}$ $-4sqrt15* -sqrt3 = (-xx-)4sqrt(3*5)*sqrt3$

$\Rightarrow + 4 \sqrt{3} \cdot 4 \sqrt{5} \cdot \sqrt{3}$ $rArr +4sqrt3*4sqrt5*sqrt3$

$\Rightarrow 4 \sqrt{3} \sqrt{3} \cdot \sqrt{5}$ $rArr 4sqrt3sqrt3*sqrt5$

$\Rightarrow 4 \cdot 3^{\frac{1}{2}} 3^{\frac{1}{2}} \cdot \sqrt{5}$ $rArr 4*3^(1/2)3^(1/2)*sqrt5$

$\Rightarrow 4 \cdot 3^{\frac{1}{2} + \frac{1}{2}} \cdot \sqrt{5}$ $rArr 4*3^(1/2+1/2)*sqrt5$

$\Rightarrow 4 \cdot 3^{\frac{2}{2}} \cdot \sqrt{5}$ $rArr 4*3^(2/2)*sqrt5$

$\Rightarrow 4 \cdot 3 \cdot \sqrt{5} = 12 \sqrt{5}$ $rArr 4*3*sqrt5 = 12sqrt5$

How do you simplify -4sqrt15*-sqrt3−4√15⋅−√3-4sqrt15*-sqrt3?