How do you simplify $sqrt(3v)(sqrt6+sqrt10)$ ?

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Answer 1 · 2017-05-18T12:52:19

$3 sqrt(2 v) + sqrt(30 v)$

We have: $sqrt(3 v) (sqrt(6) + sqrt(10))$

Let's expand the parentheses:

$= sqrt(3 v) cdot sqrt(6) + sqrt(3 v) cdot sqrt(10)$

$= sqrt(3 v cdot 6) + sqrt(3 v cdot 10)$

$= sqrt(18 v) + sqrt(30 v)$

$= 3 sqrt(2 v) + sqrt(30 v)$

How do you simplify sqrt(3v)(sqrt6+sqrt10)sqrt(3v)(sqrt6+sqrt10)?