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

Which of the following statement is true?

MCQ (Single)Definition of Irrational NumbersProduct and Quotient of Rational and Irrational Numbers

The product of any two irrational numbers is

Multiply 6√5 by 2√5.

Divide 8√15 by 2√3.

Simplify the following expressions: