Prove that 3 + 2V5 is irrational. – InterviewSolution

1.

Prove that 3 + 2V5 is irrational.

Answer»

3 + 2√5 = a/ b

2√5 =a/b -3

√5 =a-3b/2b

√5 is rational.

This contradicta the fact that √5 is irrational.So our supposition is incorrect.

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