Answer the following question.
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Step-by-step explanation:
Answer of question 1 is:
Let us assume, to the contrary, that /3 + /5 is rational
So, we can find coprime a and b (b#0) such that /3 + /5 = a/b
- There for, b( /3 + /5 )= a
- b= a//3+/5
Since a and b are integers we get b is rational and so a//3+/5 is rational.
But this contradicts the fact that /3 and /5 are irrational so, a/ /3+/5 is irrational.
This contradiction has arisen because of our incorrect assumption that /3+/5 is rational
So, we conclude that /3+/5 is irrational.
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