English, asked by arpitadey5843, 1 year ago

prove √3+√5 is rational ​

Answers

Answered by Harrypotter723
2

Suppose √3 - √5 is a rational number say x. Then we have (√3-√5)^2 = x^2 => 8–2√15 = x^2 => 8-x^2 = 2√15. Here, LHS is rational while RHS is irrational. Hence we arrive at a contradiction.

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