Logics and Proof - Discrete Mathematics

modzz
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Prove or disapprove that the product of two rational numbers is irrational


How do you solve this?

Thanks
 
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Hi modzz! :smile:
modzz said:
Prove or disapprove that the product of two rational numbers is irrational

How do you solve this?

You start by … erm :redface: … starting!

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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