Given that √5 is an irrational number, prove that 2 + 3√5 is an irrational number.

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Definition of Irrational Numbers, Irrationality of Square Root of Prime Numbers, Proof by Contradiction Method | PadhAiPro

Question

TextDefinition of Irrational NumbersIrrationality of Square Root of Prime NumbersProof by Contradiction MethodCBSE PYQ

Prove that √5 is an irrational number.

Prove that √3 is an irrational number.

Prove that √2 is an irrational number.

A rational number between √2 and √3 is

Which of the following statement is true?

(2 + √2)² is :