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

Prove (for example, by calculating each side)

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

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

Expert Solution

Colby Messinger answered 2 years ago

prove that cube root of 26 is irational

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