Question

How do you expand and simplify `( \sqrt { 3} + \sqrt { 15} ) ^ { 2}`?

Answer 1

`18+2sqrt3sqrt15` or`31.416`

Explanation:

`(sqrt3+sqrt15)^2`

`:.=(sqrt3+sqrt15)(sqrt3+sqrt15)`

`:.=(sqrt3)^2+2sqrt3sqrt15+(sqrt15)^2`

`:.=3+2sqrt3sqrt15+15`

`:.=18+2sqrt3sqrt15` or`31.416`