Question

Question #9a91c

Answer 1

`6(3+sqrt5)`

Explanation:

If the question is:- `(sqrt3+sqrt15)^2 then:`

`color(white)(aaaaaaaaaaaaa)` `sqrt3+sqrt15`
`color(white)(aaaaaaaaaaa)` `xx underline(sqrt3+sqrt15)`
`color(white)(aaaaaaaaaaaaa)` `3+sqrt3*sqrt15`
`color(white)(aaaaaaaaaaaaaaaa)` `+sqrt3*sqrt15+15`
`color(white)(aaaaaaaaaaaaa)` `overline(3+2sqrt3*sqrt15+15)`

`color(white)(aaaaaaaaaaaaa)` `:.=18+2sqrt3*sqrt15`

`color(white)(aaaaaaaaaaaaa)` `:.18+2sqrt45`

`color(white)(aaaaaaaaaaaaa)` `:.=18+2sqrt(5*3*3)`

`color(white)(aaaaaaaaaaaaa)` `sqrt3*sqrt3=3`

`color(white)(aaaaaaaaaaaaa)` `:.=18+2*3sqrt(5)`

`color(white)(aaaaaaaaaaaaa)` `:.=18+6sqrt(5)`

`color(white)(aaaaaaaaaaaaa)` `:.=6(3+sqrt(5))`