How do you simplify $6sqrt6 + 6sqrt3$ ?

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Answer 1 · 2015-10-09T00:04:22

$6sqrt(3) * (sqrt(2) + 1)$

You can start by writing

$sqrt(6) = sqrt(2 * 3) = sqrt(2) * sqrt(3)$

The expression will thus be

$6 * sqrt(2) * sqrt(3) + 6sqrt(3) = sqrt(2) * 6sqrt(3) + 6sqrt(3)$

Now use $6sqrt(3)$ as a common factor to get the simplified form

$sqrt(2) * 6sqrt(3) + 6sqrt(3) = color(green)(6sqrt(3) * (sqrt(2) + 1))$

How do you simplify 6sqrt6 + 6sqrt36sqrt6 + 6sqrt3?