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Cube Root

16. Prove tha...

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16. Prove that root 7 is not a cube of rational number

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Proof that 7+root5 is not a rational number.

\sqrt{5} - \sqrt{3}

is not a rational number.

\sqrt{5}

is not a rational number. Hence, prove that 2 -

\sqrt{5}

is also irrational.

a, b, c, p

be rational numbers such that

p

is not a perfect cube.

a + b p^{\frac{1}{3}} + c p^{\frac{2}{3}} = 0

, then prove that

a = b = c = 0

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