0 AnilSinghBoraGuru Asked: July 13, 20212021-07-13T14:04:34+05:30 2021-07-13T14:04:34+05:30In: NCERT Class 10th Maths Prove that 3 + 2√5 + is irrational. Q.2 0 Another best question of irrational number of class 10th . How can we solve this question . Please give me some suggestion for this question. The best way for solving this question. Prove that 3 + 2√5 + is irrational. best solutionexercise1.3 ncertncert class 10th solutionreal number ncert Share Facebook 1 Answer Voted Oldest Recent bhagwansingh Guru 2021-07-13T14:10:20+05:30Added an answer on July 13, 2021 at 2:10 pm Let us assume 3 + 2√5 is rational. Then we can find co-prime x and y (y ≠ 0) such that 3 + 2√5 = x/y Rearranging, we get, Since, x and y are integers, thus, is a rational number. Therefore, √5 is also a rational number. But this contradicts the fact that √5 is irrational. So, we conclude that 3 + 2√5 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 jar contains 24 marbles, some are green and others are blue. If a marble is drawn at ... A box contains 12 balls out of which x are black. If one ball is drawn at random ... A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball ... A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, ... Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each ...

Let us assume 3 + 2

√5 is rational.Then we can find co-prime x and y (y ≠ 0) such that 3 + 2√5 = x/y

Rearranging, we get,

Since, x and y are integers, thus,

is a rational number.

Therefore,

√5 is also a rational number. But this contradicts the fact that√5 is irrational.So, we conclude that 3 + 2

√5 is irrational.