Question

What is the conjugate of 3 minus square root of 2?

Answer 1

It is `3+sqrt2`

Explanation:

By definition the conjugate of
`color(white)("XXX")(a+b)` is `(a-b)`
and
`color(white)("XXX")(a-b)` is `(a+b)`
The term "conjugate" only applies to the sum or difference of two terms.

"3 minus the square root of 2"
means (in algebraic form)
`3-sqrt(2)`

Applying the earlier definition with `a=3` and `b=sqrt(2)`
we have
The conjugate of `(3-sqrt(2))` is `(3+sqrt(2))`