Prove that the following are irrationals :

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Irrationality of Square Roots by Contradiction, Sum and Difference of Rational and Irrational Numbers | PadhAiPro

Question

CASE_STUDIESIrrationality of Square Roots by ContradictionSum and Difference of Rational and Irrational Numbers3 sub-questions

Prove that √5 is an irrational number.

(√3 + 2)² + (√3 − 2)² is a/an

Sum and Difference of Rational and Irrational Numbers

Prove that √3 is an irrational number.

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

Prove that √2 is an irrational number.

Prove that (5√3 + 2/3) is an irrational number given that √3 is an irrational number.