Solve (6+sqrt3)(1+2sqrt3)?

3 Answers
Apr 12, 2018

12 + 13sqrt(3)

Explanation:

You'll need to FOIL out this problem.

(6 xx 2sqrt3) + (6 xx1)

(sqrt3 xx 1) + ( sqrt3 xx 2sqrt3 )

Simplify them

(12sqrt3) + (6)

(sqrt3) + (6)

Combine like terms.

Apr 12, 2018

12+13sqrt3

Explanation:

(6+sqrt3)(1+2sqrt3)

=6(1) + 1sqrt3 + 6(2sqrt3) + 2sqrt3sqrt3

=6 + 1sqrt3 + 12sqrt3 + 6

=color(red)(12 + 13sqrt3) = 34.5166604...

Apr 13, 2018

12+13sqrt3

Explanation:

Expand out each term:

6 xx 1=6

6 xx 2sqrt3=12sqrt3

sqrt3 xx 1=sqrt3

sqrt3 xx 2sqrt3=2sqrt9 -> 2 xx 3=6

Adding like terms:

6+12sqrt3+sqrt3+6 -> 12+13sqrt3