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

Question

TextProof by Contradiction MethodSum and Difference of Rational and Irrational Numbers

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Prove that 5 − 2√3 is an irrational number. It is given that √3 is an irrational number.

Show that the number 5×11×17+3×11 is a composite number.

TextPrime Factorisation of Natural NumbersIrrationality of Square Root of Prime NumbersProof by Contradiction Method

(√3 + 2)² + (√3 − 2)² is a/an

Prove that √3 is an irrational number.

State true or false for each of the following statements and justify in each case :

(1 + √3)² – (1 – √3)² is :