Question

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Answer 1

Step-by-step explanation:

let v2 -3 be rational number

then,

It can be written in the form of P/q

where p and q are integers and there is no common factor between P and q except 1

v2-3 = p/4

v2 = p/4+3

=>V2 = (P+3q)/q

LHS is irrational but RHS is rational

It cannot happen

our assumption is wrong

so, v2-3 is irrational number

Answer 2

Let 2-√3 be rational no.

So,2-√3 = p/q

-√3 = p/q-2

Since,a and b are integers,a/b-2 is a rational number and

therefore,-√3 is a rational no.

but this contradicts the fact that it is a irrational number.

This contradiction arises as we have assumed 2-√3 a rational number.

So,2-√3 is a irrational no.

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