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Which option shows that adding an irrational number to an irrational number can give a rational result?

Answer and explanation

Correct answer: (\sqrt{5}+(2-\sqrt{5})=2)

Step 1: (\sqrt{5}) is irrational and (2-\sqrt{5}) is also irrational. Step 2: Their sum is (2) which is rational. Step 3: There is no single always rule for the sum of two irrational numbers.

Related tags

CounterexampleIrrational SumClass 10Irrational NumbersReal NumbersMathematicsClass 10 Mcq

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