Question

Prove that root3 is an irrational number.....
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please answer fast...​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

let us assume root 3 as rational number

root3 = a/b ( where a and b are integers,coprimes and b not equal to 0)

root3b=a

squaring on bot sides we have

3b^2 = a^2

three divides 3bsquare

three divides a square

three divides a .............. (1)

a/3=c

a=3c

sub the value of a above we get

3b^2 = 9csquare

3 divides 9 c square

3 divides 3 b square

3 divides b.........................(2)

from one and two

three divides both a and b

this contradicts our fact that 3 is Corrine

our assumption is wrong

root three is irrational

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