Question

Is the product of two irrational numbers always an irrational number ? Explain.

A. No, an irrational square root multiplied by itself will produce a rational result.

B. Yes, the product of two irrational numbers is always an irrational number just as the product of two rational numbers is always a rational number.

C. No, an example is square root of 144 X the square root of 64, which is a rational number.

Answer 1

The correct answer is "No, she is incorrect because 4 is a rational number and square root 2 is an irrational number."

Explanation:

Answer 2

A. No, an irrational square root multiplied by itself will produce a rational result.

Explanation:

sqrt(2) is irrational

sqrt(2) * sqrt(2) = sqrt(4) = 2