prove that 4+√3 is irrational mumber
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Let us assume that 4+√3 is a rational number. But,
We know that, rational numbers can be written in p/q form. Hence, the 4+√3 should be equal to p/q as we assumed it as rational number.
Therefore, 4 + √3 = p / q
4 - p/q = -√3
On L.H.S., the 4 - p/q will give a rational number but on R.H.S., -√3 is an irrational number, a rational no. cannot be equal to an irrational no.
Hence, this is a contradiction. Therefore, 4 +√3 is an irrational number.
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