Question

. Show that square root
of 2 is irrational.​

Answer 1

Answer:

√2 is irrational  

Step-by-step explanation:

Hey there !

Lets assume that √2 is rational.

let ,

√2 = p/q , where p and q are integers , q ≠ 0 , and " p and q are co prime "

squaring both the sides ;

2 = p²/q²

2q² = p²

here ,

2 dividies p².

so , 2 divides p                  -------> [1 ]

p = 2m

2q² = p²

2q² = [2m]²

2q² = 4m²

q² = 2m

here ,

2 divides q².

so ,

2 divides q       ----> [2]

from [1] and [2] its clear that 2 is a common factor of p and q .

this contradicts our assumption that p and q are co prime .

hence ,  

our assumption was wrong .

∴ √2 is irrational  

Answer 2

Answer:

root 2 is irrational because

root 2 ko hum p/q ke form me nhi likh skte hai

aur rational number vo hote hai jinko hum p/q ke form me likh ske