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Prove (for example, by calculating each side) (a) Q[ ? 2, cube root(2)] : Q =...

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Advance Math

Prove (for example, by calculating each side)

(a) Q[ ? 2, cube root(2)] : Q = [Q[ ? 2] : Q] · [Q[ cuberoot(2)] : Q]

(b) Q[ ? 2, fourth root (2)] : Q not equal to [Q[ ? 2] : Q] ·[Q[ fourth root (2)] : Q]

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