Question

Given that root 3 is irrational number .prove that 2add root 3 is an irrational number

Answer 1

Let 2+√3 be a rational number.

Now,2+√3=a/b

Where a and b are co prime numbers and b is not =0.

√3=a/b-2

So,a/b-2 is a rational number.

But ,√3 is an irrational number.

Hence,2+√3 is an irrational number.

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