Math, asked by babu9818941238, 6 months ago

prove that is irrational
  \5

Answers

Answered by TheQuantumMan
0

Answer:

incomplete question.......

Answered by SeCrEtID2006
6

to prove :-√5 is irrational

solution:-

let √5 be rational

√5=p/q

(√5)^2=p^2/q^2

5=p^2/q^2

5q^2=p^2. (1) equation

q^2=p^2/5

here p^2 is divided by 5

let p=5m

put in equation( 1)

5q^2=(5m)^2

5q^2=25m^2

q^2=5m^2

q^2/5=m^2

here q^2 is divided by 5

hence it can not be possible that both p^2 and q^2 divided by 5

hence proved

that √5 is a irrational number

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