prove that 5+3✓2 is a rational number
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Step-by-step explanation:
let us assume to the contrary that 5+3√2 is rational
thus 5+3√2 = a/b
3√2 =a-5b/b
√2 = a-5b/3b
since Lhs √2 is irrational
and rhs a,b,-5,3 are integers
thus LHS ≠RHS
hence our assumption is wrong
thus 5+3√2 is irrational
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