What is the square root of 20 times the square root of 15?

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Answer 1 · 2015-09-08T12:39:03

$sqrt(4*5)*sqrt(15)=color(green)( 10sqrt 3 ~ 17.321$

square root of 20 times the square root of 15 in mathematical terms can be written as $sqrt20 * sqrt15$

= $sqrt(4*5)*sqrt(15)$

We know that $color(blue)(sqrt(a*b) = sqrta*sqrtb)$

Hence = $sqrt(4*5)*sqrt(15) = sqrt4*sqrt5*sqrt3*sqrt5$

$= 2*(sqrt5)^2*sqrt3$

$= 2* 5 *sqrt3$

$=color(green)( 10sqrt 3$