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

1 Answer

Answer:

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))#