How do you simplify 6sqrt6 + 6sqrt36√6+6√3?

1 Answer
Stefan V.
Oct 9, 2015

6sqrt(3) * (sqrt(2) + 1)6√3⋅(√2+1)

Explanation:

You can start by writing

sqrt(6) = sqrt(2 * 3) = sqrt(2) * sqrt(3)√6=√2⋅3=√2⋅√3

The expression will thus be

6 * sqrt(2) * sqrt(3) + 6sqrt(3) = sqrt(2) * 6sqrt(3) + 6sqrt(3)6⋅√2⋅√3+6√3=√2⋅6√3+6√3

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

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

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