Answer:
Explanation:
The conjugate is a fancy term for the square root of usually the binary factor of a question.
So let's see what it means for your question.
Look at the denominator. It is given as 1 + sqrt(2). The conjugate is 1 - sqrt(2)
So what you are directed to do is multiply the top and bottom of the fraction by 1 - sqrt(2)
5 * ( 1 - sqrt(2))
============
(1 + sqrt(2) )(1 - sqrt(2)
What you get now is
5(1 - sqrt(2) )
===========
1 - sqrt(2) + sqrt(2) - sqrt(2)^2)
5(1 - sqrt(2)
========
1 - 2
5(1 - sqrt(2))
===========
- 1
Since there are no choices given, I don't know what you should do from here. One choice is
5(sqrt(2) - 1) <====Answer
which is what I would do.