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2. Prove that 3 + 2√5 is irrational.

Prove that 3 + 2√5 is irrational.
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Class 10

Real Numbers

Exercise 1.2

1. Prove that \(\sqrt{5}\) is irrational.

2. Prove that \(3+2\sqrt{5}\)  is irrational.

3. Prove that the following are irrationals :

(i) \(1\over{\sqrt{2}}\)

(ii) \(7\sqrt{5}\)

(iii) \(6+\sqrt{2}\)