Question

prove √2 is irrational using long division...fastest answer will be marked as Brainliest!!!​

Answer 1

let root 2 is a rational no.so we can write root 2 =a/b where a&b are co- prime no.

2b=a

s.b.s.

2b square=a square

b=asquare /2

2 divides a square

therefore 2divides a also

put ....

2b square=(2c square)

2b square/4=c square

b square/2=c square

2 divides b square

therefore 2 divides b also

this contradiction is due to wrong assumption.

therefore root 2 is an irrational no.

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