√2+5 is rational or irrational
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√2+5 is an irrational number
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2 is a rational number because it can be represented as \[\dfrac{2}{1}\] where 2 and 1 are integers. \[\sqrt 5 \] is an irrational number because it can't be represented in the form of rational numbers. We know that the sum or difference of a rational and an irrational number is an irrational number.
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