Question

(sqrt2-sqrt3+sqrt6)(sqrt6-sqrt3)

Answer 1

Answer:
`-6√(2)+2√(3)-√(6)+9`

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Step-by-step explanation

Let:

`x = √(2)\\\\y = √(6)-√(3)\\\\`

We can then say:

`(√(2)-√(3)+√(6))(√(6)-√(3))\\\\(√(2)+√(6)-√(3))(√(6)-√(3))\\\\(x+y)(y)\\\\xy+y^2\\\\2√(3)-√(6)+9-6√(2)\\\\-6√(2)+2√(3)-√(6)+9\\\\`

Check out the screenshot below for the scratch work on how I computed the
`xy` and
`y^2` terms.