Is (2^1/2 + 7^1/3)^1/2 irrational?

trap101 · Feb 14, 2012

Hi,

So I proved that 7^1/3 is irrational, and I know 2^1/2 is irrational, but how can I show if (2^1/2 + 7^1/3)^1/2 is irrational?

Hint of where to start?

trap101 · Feb 14, 2012

Never mind, figured it out.

checkitagain · Feb 14, 2012

trap101 said:

Never mind, figured it out.

Can you give a summary as to how you figured it out?

I was working on it after you posted it.

Is (2^1/2 + 7^1/3)^1/2 irrational?

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Is (2^1/2 + 7^1/3)^1/2 irrational?

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