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Which option is an example of two different irrational numbers whose quotient is rational?
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Answer and explanation
Correct answer: (\frac{\sqrt{5}}{\sqrt{20}})
Step 1: (\sqrt{5}) and (\sqrt{20}=2\sqrt{5}) are both irrational and different. Step 2: (\frac{\sqrt{5}}{\sqrt{20}}=\frac{\sqrt{5}}{2\sqrt{5}}=\frac{1}{2}), which is rational. Step 3: A common irrational factor can cancel in a quotient.
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What is the correct answer to this question?
(\frac{\sqrt{5}}{\sqrt{20}})
Why is this the correct answer?
Step 1: (\sqrt{5}) and (\sqrt{20}=2\sqrt{5}) are both irrational and different. Step 2: (\frac{\sqrt{5}}{\sqrt{20}}=\frac{\sqrt{5}}{2\sqrt{5}}=\frac{1}{2}), which is rational. Step 3: A common irrational factor can cancel in a quotient.
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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