How do you simplify $2sqrt5 *3sqrt10$ ?

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Answer 1 · 2015-09-06T19:50:06

$30sqrt(2)$

$color(red)(2sqrt(5))*color(blue)(3sqrt(10))$

$= color(red)(2)*color(blue)(3)*color(red)(sqrt(5))*color(blue)(sqrt(10))$

$= 6* color(green)(sqrt(50))$

$= 6* color(green)(sqrt(25)*sqrt(2))$

$=6*color(green)(5sqrt(2))$

$=30sqrt(2)$

Answer 2 · 2015-09-06T19:51:48

I found: $30sqrt(2)$

You can write:
$2sqrt(5)*3sqrt(5*2)=(2*3)sqrt(5)sqrt(5)sqrt(2)=$
Multiply:
$=6*5*sqrt(2)=$
Where you used the faxt that $sqrt(x)sqrt(x)=x$ .

So: $2sqrt(5)*3sqrt(10)=30sqrt(2)$

How do you simplify 2sqrt5 *3sqrt10 2sqrt5 *3sqrt10 ?