Conside the following field extensions of $\mathbb{Q}$ : $$K= \mathbb{Q}(2^{1/25}) \ \ and \ \ L=\mathbb{Q}(8^{1/25}),$$
Is $K \subset L$ ? Any hint would be helpful.
2026-04-12 07:43:05.1775979785
Does the given inclusion hold?
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HINT
$8^{\frac{1}{25}}=2^{\frac{3}{25}}$