Math, asked by ppskasanaadv70, 5 months ago

Answer the following question. ​

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Answers

Answered by 1998samikshasingh
2

Answer:

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Answered by anitadevibharti
0

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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