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## anonymous 4 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?

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1. anonymous

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. anonymous

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

3. anonymous

yw

4. anonymous

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. anonymous

waitt

6. anonymous

they are really asking me prove in detail

7. anonymous

what u mean the root exist?

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