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In which option is (x+y) rational while both (x) and (y) are irrational?
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Answer and explanation
Correct answer: (x=\sqrt{8},y=-2\sqrt{2})
Step 1: (\sqrt{8}=2\sqrt{2}), so (x) and (y=-2\sqrt{2}) are both irrational. Step 2: Their sum is (2\sqrt{2}-2\sqrt{2}=0), which is rational. Step 3: Opposite irrational terms can give a rational sum.
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What is the correct answer to this question?
(x=\sqrt{8},y=-2\sqrt{2})
Why is this the correct answer?
Step 1: (\sqrt{8}=2\sqrt{2}), so (x) and (y=-2\sqrt{2}) are both irrational. Step 2: Their sum is (2\sqrt{2}-2\sqrt{2}=0), which is rational. Step 3: Opposite irrational terms can give a rational sum.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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