Question

prove That 2-root3 is rational ,given that root 3 is irrational​

Answer 1

Answer:

${\tt{\purple{\underline{\underline{\huge{VARIFIED}}}}}}$

Hi friend,

Let 2-√3 is a rational number.

A rational number can be written in the form of p/q.

2-√3=p/q

√3=p/q+2

√3=(p+2q)/q

p,q are integers then (p+2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our supposition is false.

Therefore,2-√3 is an irrational number.

Hence proved.

Hope it helps

Step-by-step explanation:

Answer 2

Answer:

{\tt{\purple{\underline{\underline{\huge{VARIFIED}}}}}}

VARIFIED

Hi friend,

Let 2-√3 is a rational number.

A rational number can be written in the form of p/q.

2-√3=p/q

√3=p/q+2

√3=(p+2q)/q

p,q are integers then (p+2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our supposition is false.

Therefore,2-√3 is an irrational number.

Hence proved.

Hope it helps

Step-by-step explanation: