Which pair gives two irrational numbers but their quotient is rational?
Answer and explanation
Correct answer: (\sqrt{18}) and (\sqrt{2})
Step 1: (\sqrt{18}) and (\sqrt{2}) are both irrational. Step 2: (\frac{\sqrt{18}}{\sqrt{2}}=\sqrt{9}=3) which is rational. Step 3: In quotients check whether the ratio inside the radical becomes a perfect square.
Frequently asked questions
What is the correct answer to this question?
(\sqrt{18}) and (\sqrt{2})
Why is this the correct answer?
Step 1: (\sqrt{18}) and (\sqrt{2}) are both irrational. Step 2: (\frac{\sqrt{18}}{\sqrt{2}}=\sqrt{9}=3) which is rational. Step 3: In quotients check whether the ratio inside the radical becomes a perfect square.
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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