Question

Prove that 3+2 route three is an irrational number

Answer 1

Let 3+2√3 is rational
3+2√3=a/b
√3 = a/2b-3
√3 = a-6b/2b
√3 is an irrational number
a-6b/2b is rational number
And rational number is not equal to irrational number
So, this contradiction is arises by our wrong consumption.
So, 3+2√3 is irrational number.
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