Question

is the product of two irrationals always irrational?

Answer 1

No, the product of two irrational numbers is nor always irrational.

Answer 2

====================================

◆ The product of 2 irrational numbers is not always irrational.

◆ If 2 equal irrational numbers are multiplied then the result is a rational number.

Ex : √3 × √3 = 3

√2 × √2 = 2.


● Rational numbers : Numbers that can be expressed in the form of p/q, ( q doesn't equal to 0 ).If p/q is in standard form then their H.C.F should be 1.

Ex : 2,3,5/7,6 etc.

●Irrational numbers : Numbers that are not rational.Numbers that can't be expressed as in p/q.

Ex : √2 , √3 + √5 , √12 etc.


Hope it helps !