Assertion (A) : (a + √b) · (a – √b) is a rational number, where a and b are positive integers. Reason (R) : Product of two irrationals is always rational.

Question

Assertion-ReasonProduct and Quotient of Rational and Irrational NumbersCBSE PYQ

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Which of the following statement is true?

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

Sum and Difference of Rational and Irrational Numbers

Product and Quotient of Rational and Irrational Numbers

The product of a non-zero rational number and an irrational number is:

The number (2 + √3)(2 − √3) is: