Question

prove that (root3 +root2)^3 is irrational

Answer 1

3÷2√3 =3√3/6 =(√3)/2, and if it equals a rational number m/n, then multiplying by √3, we get that √3 = 2. m/n which is again rational. But we know that if a square root of a positive integer k is rational, then k must be a perfect square. ... This shows that (3÷2√3) is irrational.

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Answer 2

Answer:

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