How do you simplify #(3 + sqrt6)(5 +sqrt6)#?
1 Answer
Apr 8, 2017
Explanation:
-
Multiply both factors
#(3 + sqrt(6))(5 + sqrt(6))= 3×5 + 3 sqrt(6) + sqrt(6)×5 + sqrt(6) sqrt(6)# -
Multiply 3 and 5 together and combine products of same terms.
#= 15 + 3sqrt(6) + 5sqrt(6) + 6# -
Add 15 + 6 and (3+5)
#sqrt(6)#
Result:
