Question

Which two numbers selected from the list do NOT support the following statement?

"The product of an irrational number and an irrational number is irrational."
A) π and π
B) -√7 and π
C) π and √7
D) √7 and 1 over √7

I really need help with this, it is really hard to understand. I need answers quickly.

Answer 1

√7 and 1 over √7

Explanation:

we know that

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers.Numbers that are not rational are called irrational numbers

Verify each case

case A) π and π

The product is a irrational number

case B) -√7 and π

The product is a irrational number

case C) π and √7

The product is a irrational number

case D) √7 and 1 over √7

The product is a rational number

Because

`√(7)((1)/(√(7)))=1`

therefore

The numbers do NOT support the statement "The product of an irrational number and an irrational number is irrational."