Math, asked by shreshthsahu5, 9 months ago

prove that 7+√2 is irrational​

Answers

Answered by BrainlyMind813
10

Answer:

let us assume on the contrary that 7+√2 is rational

that is, we can find co-prime a and b (#0) such that 7+√2=a/b

therefore,

7-a/b = √2

since a&b are integers so 7- a/b is a rational number so, √2 is rational

But this contradicts the fact that √2 is irrational

The contradiction has arisen due to our incorrect assumptions that 7+√2 is irrational

so,

we conclude that 7+√2 is irrational

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Answered by rubyrenjith8
7

Answer:

please mark as brainliest

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