Question

Prove that 2-5√3 is irrational.​

Answer 1

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Step-by-step explanation:

Let 2 - 5√3 be rational.

∴ 2 - 5√3 = p/q ; p, q are integers, q ≠ 0

⇒ √3 = (p/q + 2) ÷ 5

√3 = (p + 2q)/5q

LHS is irrational and RHS is rational which is a contradiction.

∴ 2 - 5√3 is irrational.

Answer 2

Answer:

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