How do you simplify $sqrt5(5 sqrt3 - 2 sqrt4)$ ?

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Answer 1 · 2016-04-30T17:40:11

$= 5 sqrt15 -2 sqrt20$

$color(blue)(sqrt5) * ( 5 sqrt3 - 2 sqrt4)$

$= color(blue)(sqrt5) * ( 5 sqrt3 ) + color(blue)(sqrt5) * ( - 2 sqrt4)$

$= 5 * sqrt5 * sqrt3 + color(green)( (-2) * sqrt5 * sqrt4$

$= 5 * sqrt15 + color(green)( (-2) * sqrt20$

$= 5 sqrt15 -2 sqrt20$

How do you simplify sqrt5(5 sqrt3 - 2 sqrt4)sqrt5(5 sqrt3 - 2 sqrt4)?