## anonymous 5 years ago Prove the following statement: “If $b[ \sqrt[3]{p}] + c [\sqrt[3]{p^2}]=0$ where a, b, c, p are rational and p is not a perfect cube, then a, b, c are all zero.”

1. amistre64

i dont see an "a"; but then again, proofs are not my cup o tea

2. anonymous

oops sorry

3. anonymous

Prove the following statement: “If $a+b[p\sqrt[3]{3}]+c[\sqrt[3]{p}]=0$ where a, b, c, p are rational and p is not a perfect cube, then a, b, c are all zero.”

4. anonymous

Sorry again. I must sleep well. Prove the following statement: If $a+b\sqrt[3]{p}+c\sqrt[3]{p^2}=0$ where a, b, c, p are rational and p is not a perfect cube, then a, b, c are all zero.”

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