How do you simplify $5sqrt(24)*3sqrt(10)$ ?

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Answer 1 · 2015-07-08T08:34:57

$=color(blue)(60 sqrt15$

$sqrt24 = sqrt(3 . 4 . 2) = color(blue)(2sqrt6$

The expression becomes:

$5sqrt24 . 3sqrt10 = 5 .color(blue)( (2sqrt6)) . 3sqrt10$

$=30sqrt(6.10)$

$=30 sqrt60$

$=30 . sqrt(2 . 3 . 2 .5)$

$=30 . 2 sqrt(15)$

$=color(blue)(60 sqrt15$

How do you simplify 5sqrt(24)*3sqrt(10)5sqrt(24)*3sqrt(10)?