show that 4+underoot3 is irrational
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Let us assume 4+√3 is rational
so, 4+√3 = p/q.
suppose, p & q have a common factor other than 1.
so, 4 + √3 =a/b,where a & b are co-prime.
4 + √3 = a/b
√3 = a/b - 4
√3 = a - 4b / b
Because, √3 is irrational
Therefore, 4 + √3 is irrational
Hence proved
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