Math, asked by haidarali786345, 1 year ago

Give that root under 3 is irrational number prove that 2 + root 3 is an irrational number

Answers

Answered by phenomenalgurl
0

Answer:

Step-by-step explanation:

First of all, given: √3 is irrational

To prove: 2+√3 is irrational

Proof:-

Let 2+√3 = p/q ( p and q are co-primes)

√3 = p/q -2

Now , we know that p,q and -2 are rational. So √3 will also be rational.

But it’s given that√3 is irrational. So our assumption was wrong .

Hence 2+√3 is also irrational.

Hence proved :)

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