How do you simplify $5 \sqrt{3} \cdot \sqrt{24}$ $5sqrt3*sqrt24$ ?

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Answer 1 · 2015-05-18T14:56:05

By expanding your roots and also adopting the exponential rule ${\sqrt{n}}^{2} = n$ $sqrt(n)^2=n$

$5 \sqrt{3} \cdot \sqrt{3 \cdot 8}$ $5sqrt(3)*sqrt(3*8)$
$5 \sqrt{3} \cdot \sqrt{3} \sqrt{2 \cdot 4}$ $5color(green)(sqrt(3)*sqrt(3))sqrt(2*4)$

We have a squared squared root, which is $= 3$ $=3$

$5 \cdot 3 \cdot 4 \sqrt{2}$ $5*3*4sqrt(2)$

Final answer: $60 \sqrt{2}$ $60sqrt(2)$

How do you simplify 5√3⋅√245sqrt3*sqrt24?