Show that 3 2 is irrational.

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, Product and Quotient of Rational and Irrational Numbers | PadhAiPro

Question

TextIrrationality of Square Roots by ContradictionProduct and Quotient of Rational and Irrational Numbers

Prove that √5 is an irrational number.

Prove that √3 is an irrational number.

Prime Dividing a Square Divides the Number

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

(1 + √3)² – (1 – √3)² is :

Prove that √2 is an irrational number.

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