How do you simplify $5sqrt3*sqrt24$ ?

Question

1281 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-18T14:56:05

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

$5sqrt(3)*sqrt(3*8)$
$5color(green)(sqrt(3)*sqrt(3))sqrt(2*4)$

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

$5*3*4sqrt(2)$

Final answer: $60sqrt(2)$

How do you simplify 5sqrt3*sqrt245sqrt3*sqrt24?