Question

3
0 24 Prone that 3 by 2√3
in an irrational number ​

Answer 1

Answer:

Proof

Let us assume that 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 assumption is false.

Therefore,2+√3 is an irrational number.

Hence proved.

anything divided with irrirational gives irrirational again

so 3 is divided with 2 root 3 where 2 root 3 is irrirational so 3 divided by 2 root 3 also a irrirational number

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