How do you simplify $sqrt3(-5sqrt10+sqrt6)$ ?

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Answer 1 · 2018-05-01T05:59:05

$-5sqrt30 + 3sqrt2$

$sqrt3(-5sqrt10 + sqrt6)$

Use the distributive property:
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Following this image it becomes:
$-5 * sqrt3 * sqrt10 + sqrt3 * sqrt6$

Now simplify:
$-5sqrt30 + sqrt18$

Expand $sqrt18$ :
$-5sqrt30 + sqrt(9 * 2)$

$-5sqrt30 + sqrt9 * sqrt2$

Final answer:
$-5sqrt30 + 3sqrt2$

Hope this helps!

How do you simplify sqrt3(-5sqrt10+sqrt6)sqrt3(-5sqrt10+sqrt6)?