Prove that √3 is an irrational number.
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Here, the numbers of digits after decimal are not fixed. So, it cannot be expressed in a fractional form of two natural numbers, that's why it is an irrational number.
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Answer:
√3is irrational
Step-by-step explanation:
let √3 is rational
√3=a/b
a and b are co prime no.
(√3)2=(a) 2/(b) 2
3=a2/b2
3 is factor of a
3 is also. factor of a2
let a =c
√3=c/b
similarly
3 is factor of c
3 is also factor of c2
therefore our assumpyion is wrong
√3 is irrational no.
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