Question

Sean multiplied two numbers and the resulting product was an irrational number. If the first number was 7/3, which of the following could be the second number? Two apply. 3/7, 2pie, 1, square root of three

Answer 1

Answer: 2*pi and √3.

Explanation:

We know that when we multiply a rational number different than zero and an irrational number, the product will be also an irrational number.

Then if one of the numbers for this case is 7/3 (A rational number), the other must be an irrational number.

The given options are:

3/7 (is a rational number, so this is not the correct option)

2*pi (pi is an irrational number, then 2*pi is also an irrational number)

Then (2*pi)*3/7 will be an irrational number.

1 (this is a rational number, then this is not the correct option)

√3 (This is an irrational number, then this will be a correct option)

Then the two correct options are:

2*pi and √3.