How do you show that #(3+sqrt2)/(5+sqrt8)# can be written to #(11-sqrt2)/17#?
2 Answers
Please see below.
Explanation:
We know that ,
Let ,
Multiplying numerator and denominator by
Simplifying we get
By Rationalization
Explanation:
By Rationalization, Note:
Hence;
Rationalizing..
Expanding..
Simplifying..
Further simplifying..
Collecting like terms..
Simplifying..
Further simplifying..
Therefore;
As required..