Show that Two Fields are Equal: $\Q(\sqrt{2}, \sqrt{3})= \Q(\sqrt{2}+\sqrt{3})$
Problem 215
Show that fields $\Q(\sqrt{2}+\sqrt{3})$ and $\Q(\sqrt{2}, \sqrt{3})$ are equal.
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Add to solve later Tagged: rational number
Add to solve later $\sqrt[m]{2}$ is an Irrational Number
Problem 179
Prove that $\sqrt[m]{2}$ is an irrational number for any integer $m \geq 2$.
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