How do you simplify (3 + sqrt6)(5 +sqrt6)?

1 Answer
Apr 8, 2017

21 + 8 sqrt(6)

Explanation:

  1. Multiply both factors

    (3 + sqrt(6))(5 + sqrt(6))= 3×5 + 3 sqrt(6) + sqrt(6)×5 + sqrt(6) sqrt(6)

  2. Multiply 3 and 5 together and combine products of same terms.

    = 15 + 3sqrt(6) + 5sqrt(6) + 6

  3. Add 15 + 6 and (3+5)sqrt(6)

Result: 21 + 8sqrt(6)