How do you simplify $sqrt3(sqrt5-sqrt3)$ ?

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Answer 1 · 2018-06-19T03:44:28

$sqrt15-3$

To simplify this, we will use the distributive property, shown below:
cdn.virtualnerd.com

Following this image, we know that:
$color(blue)(sqrt3(sqrt5-sqrt3) = sqrt3sqrt5-sqrt3sqrt3 = sqrt15-sqrt9 = sqrt15-3)$

Hope this helps!

How do you simplify sqrt3(sqrt5-sqrt3)sqrt3(sqrt5-sqrt3)?