## anilorap 3 years ago hola,,, question... can I use the rational root test to proof that the cubic root of 2 and square root 3 are irrationals?

1. satellite73

sure if you consider the polynomial $x^3-2$ the rational roots can only be $\pm 1,\pm2$ and by inspection neither of those work.

2. anilorap

cool.. yea i did that... thanks satellite

3. satellite73

yw

4. satellite73

i guess if you want a real proof you have to know that the root exists, but that is clear because this is a continuous function that takes on both positive and negative values

5. anilorap

waitt

6. anilorap

they are really asking me prove in detail

7. anilorap

what u mean the root exist?