1 Deepak BoraNewbie Asked: July 26, 20202020-07-26T20:28:56+05:30 2020-07-26T20:28:56+05:30In: CBSE Prove that 2 + 5 √3 is an irrational number, given that √3 is an irrational number 1 CBSE 10th Class past year question paper Year 2019 SET 1, Code Number- 30/2/1 Question number – 13 (a) cbse 10th classncert classprevious year paper Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-29T07:53:45+05:30Added an answer on July 29, 2020 at 7:53 am Let 2 + 5 √3 = a , where ‘a’ is a rational number. than √3 = (a – 2) / 5 Which is a contradiction as LHS is irrational and RHS is rational ∴ 2 + 5 √3 + can not be rational Hence 2 + 5 √3 + is irrational. 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions A hemispherical tank, full of water, is emptied by a pipe at the rate of 25/7 litres per ... The radius and height of a solid right-circular cone are in the ratio of 5 : 12. If ... Find the mode of the following distribution Check whether 12∧n can end with the digit 0 for any natural number n. 12∧n = (2 × ... The distance between the points (m, -n) and (-m, n) is

Let 2 + 5 √3 = a , where ‘a’ is a rational number.

than √3 = (a – 2) / 5

Which is a contradiction as LHS is irrational and RHS is rational

∴ 2 + 5 √3 + can not be rational

Hence 2 + 5 √3 + is irrational.