In the expression below, m and n are positive integers.

M/n x p/q

What values of p and q would produce a product that is always irrational?

Both are negative integers
Both are irrational
One is 0, and the other is irrational
One is positive, and the one is irrational

Question

In the expression below, m and n are positive integers.

M/n x p/q

What values of p and q would produce a product that is always irrational?

Both are negative integers 
Both are irrational 
One is 0, and the other is irrational 
One is positive, and the one is irrational

anonymous · Answer

@ZAO1234

anonymous · Answer

@Vocaloid

vocaloid · Answer

hm... this is a toughie but we can use process of elimination here

if both are negative numbers, then it's possible that the product is rational, since we could just set p = -1 and q = -1

vocaloid · Answer

if both are irrational, then it's possible they could both be the same irrational number, thus cancelling out, so B isn't the answer either

vocaloid · Answer

now, between C and D, I would  go with D, since if q is 0 there is no solution

anonymous · Answer

thank you!!! do u think you could help with a few more?