Question

Prove that 3- root 5 is an irrational number, given that root 5 is irrational
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Answer 1

Answer:

let us suppose 3+root 5 is rational. as p, q and 3 are integers p-3q/3 is a rational number. =>root 5 is a rational number. ... hence 3+ root 5 is an irrational number.