Question

Prove that √3is irrational number.​

Answer 1

Answer:

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Answer 2

Answer

let √3 be a rational no.

√3=p/q

on squaring both the sides

3 = p²/q²

p²=3q²

p² is divisible by 3

p is also divisible by 3...................1

let p=3k

on squaring both the sides we get

p² = 9k²

From above p² = 3q²

3q² = 9k²

q² = 3k²

q² is divisible by  3

q is also divisible by 3..................2

from 1 & 2 p&q both are divisible by 3

So this contradicts that √3 is a rational no.

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