यदि (a) परिमेय है और \(a\ne0\), तो \(a\sqrt{5}\) किस प्रकार की संख्या है?

If (a) is rational and \(a\ne0\), what type of number is \(a\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

B. हमेशा अपरिमेयAlways irrational

Step 1

Concept

The product of a non-zero rational number and an irrational number remains irrational. In exams the condition \(a\ne0\) is very important.

Step 2

Why this answer is correct

The correct answer is B. हमेशा अपरिमेय / Always irrational. The product of a non-zero rational number and an irrational number remains irrational. In exams the condition \(a\ne0\) is very important.

Step 3

Exam Tip

अशून्य परिमेय संख्या से अपरिमेय संख्या का गुणन अपरिमेय रहता है। परीक्षा में \(a\ne0\) शर्त बहुत महत्वपूर्ण है।

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Mathematics Answer, Explanation and Revision Hints

यदि (a) परिमेय है और \(a\ne0\), तो \(a\sqrt{5}\) किस प्रकार की संख्या है? / If (a) is rational and \(a\ne0\), what type of number is \(a\sqrt{5}\)?

Correct Answer: B. हमेशा अपरिमेय / Always irrational. Explanation: अशून्य परिमेय संख्या से अपरिमेय संख्या का गुणन अपरिमेय रहता है। परीक्षा में \(a\ne0\) शर्त बहुत महत्वपूर्ण है। / The product of a non-zero rational number and an irrational number remains irrational. In exams the condition \(a\ne0\) is very important.

Which concept should I revise for this Mathematics MCQ?

The product of a non-zero rational number and an irrational number remains irrational. In exams the condition \(a\ne0\) is very important.

What exam hint can help solve this Mathematics question?

अशून्य परिमेय संख्या से अपरिमेय संख्या का गुणन अपरिमेय रहता है। परीक्षा में \(a\ne0\) शर्त बहुत महत्वपूर्ण है।