If both a & b are rational numbers, find the values of a & b:

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

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

Sum and Difference of Rational and Irrational Numbers, Rationalisation of Irrational Denominators | PadhAiPro

Question

CASE_STUDIESSum and Difference of Rational and Irrational NumbersRationalisation of Irrational DenominatorsCBSE PYQ2 sub-questions

Which of the following is an irrational number ?

The number (5 − 3√5 + √5) is :

√2(√2 – 1) is

(2 + √2)² is :

Prove that (4√2 + 5/3) is an irrational number given that √2 is an irrational number.

Give example of two irrational numbers whose (i) sum is a rational number. (ii) product is an irrational number.