prove √3+√5 is rational
Answers
Answered by
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.
Similar questions
Computer Science,
6 months ago
English,
6 months ago
Physics,
6 months ago
Business Studies,
1 year ago
Geography,
1 year ago
Science,
1 year ago
History,
1 year ago
Hindi,
1 year ago