If (r) is a non-zero rational number and (x) is an irrational number, which statement about (\frac{x}{r}) is correct?
Answer and explanation
Correct answer: It is always irrational
Step 1: Dividing by a non-zero rational number is the same as multiplying by its reciprocal. Step 2: (\frac{1}{r}) is also a non-zero rational number, so (\frac{x}{r}) remains irrational. Step 3: In division questions, always check that the denominator is not zero.
Frequently asked questions
What is the correct answer to this question?
It is always irrational
Why is this the correct answer?
Step 1: Dividing by a non-zero rational number is the same as multiplying by its reciprocal. Step 2: (\frac{1}{r}) is also a non-zero rational number, so (\frac{x}{r}) remains irrational. Step 3: In division questions, always check that the denominator is not zero.
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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