the product of √3 and √9 rational or irrational? Explain

Answer 1

Nexus, thanks for posting the question.

First, lets find out product of √3 and √9:

√3 x √9 = √27 = 3√3

Now, in order to identify if it is rational or irrational, we should know their meanings.

Rational number is any number than can be written as a fraction where numerator and the denominator are both integers. For example, 35/2 or 7/1

Irrational number, any real number that cannot be expressed as the quotient of two integers.

The product is irrational because 3√3 can not be written as the ratio of two integers.

Hope this helps!

Good luck!