Math, asked by yash08382, 9 hours ago

prove that 3 is an irrational number

Answers

Answered by cherrylingampalli
1

Answer:

Let √3 be a rational number. Then √3 = q p qp HCF (p,q) =1 Squaring both sides (√3)2 = ( q p qp)2 3 = p 2 q 2 p2q2 3q2 = p2 3 divides p2 » 3 divides p 3 is a factor of p Take p = 3C 3q2 = (3c)2 3q2 = 9C2 3 divides q2 » 3 divides q 3 is a factor of q Therefore 3 is a common factor of p and q It is a contradiction to our assumption that q p qp is rational. Hence √3 is an irrational number.Read more on Sarthaks.com - https://www.sarthaks.com/970479/prove-that-3-is-an-irrational-number

Answered by Anonymous
4

Answer:

3 is a rational number..

Step-by-step explanation:

Bro 3 is a rational number not an irrational number.

Hope u fine ..¯\(◉‿◉)/¯

Similar questions