Math, asked by jainarham935, 9 days ago

Show that √2 is an irrational number​

Answers

Answered by bc719745
0

Step-by-step explanation:

let √2 be a rational no.

√2 =p/q (where p and q are co prime no and q ≠0)

squaring on both side

2=p²/q²

2 * q² =p²

q²=p²/2... (1)

again let

p =2m

q²=2m²/2

q²/2=m²...(2)

from EQ (1) and (2)

2 is the common factor between p and q so our assumption is wrong as they are co prime no.

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