Prove that 6+2 root 3 is irrational
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Assume that 6+2√3 is rational
6+2√3 = a/ b where a and b are co- prime integers
2√3= a-6b/b
√3= a - 6b / 2b
RHS is of the form p/ q LHS is also rational
but it Contradicts the fact that √3 is irrational due to our incorrect assumption that 6+2√3 is rational , Hence 6+2√3 is irrational
6+2√3 = a/ b where a and b are co- prime integers
2√3= a-6b/b
√3= a - 6b / 2b
RHS is of the form p/ q LHS is also rational
but it Contradicts the fact that √3 is irrational due to our incorrect assumption that 6+2√3 is rational , Hence 6+2√3 is irrational
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