How do you simplify $3sqrt2 * 5sqrt10$ ?

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Answer 1 · 2016-04-21T16:59:29

$= 30 sqrt( 5)$

$3sqrt2 * 5 sqrt10$

$= color(blue)(3) * sqrt2 * color(blue)(5 ) * sqrt10$

$= color(blue)(3 * 5) * sqrt2 * sqrt10$

$= 15 * sqrt(2 *10)$

$= 15 * sqrt(20)$

$= 15 * sqrt(2 * 2 * 5)$

$= 15 * sqrt(color(green)(2 ^2) * 5)$

$= 15 * color(green)(2) sqrt( 5)$

$= 30 sqrt( 5)$

How do you simplify 3sqrt2 * 5sqrt103sqrt2 * 5sqrt10?