2√3 + √3 is equal to

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 | PadhAiPro

Question

MCQ (Single)Sum and Difference of Rational and Irrational NumbersNCERT Exemplar

(√3 + 2)² + (√3 − 2)² is a/an

(1 + √3)² – (1 – √3)² is :

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

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

Add 2√2 + 5√3 and √2 − 3√3.

Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an irrational number? Give an example in support of your answer.