Question

prove that root 2 is an irrational number​

Answer 1

Answer:

here is your explanation

Step-by-step explanation:

let root 2 be rational

let root 2=p by q (where p and q are Co primes and q is not equal to 0.)

root 2q=p

squaring both sides

(2q)square =(p) square -------1

q square =p square Mai 2

p square is divisible by 2,then p is also divisible by 2

let p=2h

put the value of p in equation 1

2q square =(2r) square

2q square = 4r square

q square =4r square divided by 2

q square = 2r square

r square =q square upon 2

q square is divisible by 2 than q is also divisible by 2 p and q have common factor so it is contradict. so our assumption was wrong

therefore root 2 is irrational

hence proved

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