Math, asked by rakhisingh04052004, 5 months ago

2√3 is an irrational no. prove it​

Answers

Answered by MohammadZohri
1

Step-by-step explanation:

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

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