Question

Prove that the following numbers are irrational 3+√2

Answer 1

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Answer 2

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If possible let 3+✓2 is rational.

3 is rational and ✓2 is irrational.

(3+✓2)-3 is also rational [ Difference of rational and rational is rational]

✓2 is rational.

This contradicts the fact that ✓2 is irrational.

The contradiction arises by assuming that (3+✓2) is rational.

Hence,

(3+✓2) is irrational.



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