Question

prove that √3 is an irrational number​

Answer 1

Answer:

let under root 3 is rational number

assume under root 3 =a/b

a and b are co-brime numbers

by squaring both side

3=asquare/bsquare

so a square=3b square

so a square is divisible by 3

hence a also divisible by 3

a/3=c

squaring both side

a square /9 = c

3b square=9c square

now b square =3 c square

bsquare is also divisible by 3

hence b is also divisible by 3

so our assumptions is wrong

and hence under root 3 is irrational number

Answer 2

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