यदि \(\sqrt{p}\) अपरिमेय है और (k) अशून्य परिमेय है, तो \(k\sqrt{p}\) कैसी संख्या होगी?
If \(\sqrt{p}\) is irrational and (k) is a non-zero rational number, what type of number is \(k\sqrt{p}\)?
Explanation opens after your attempt
Correct Answer
B. अपरिमेयIrrational
Concept
A non-zero rational multiplier does not remove irrationality.
Why this answer is correct
For example, \(4\sqrt{3}\) remains irrational.
Exam Tip
The non-zero condition is important because multiplying by (0) gives (0). चरण 1: अशून्य परिमेय गुणक अपरिमेयता को समाप्त नहीं करता। चरण 2: जैसे \(4\sqrt{3}\) अपरिमेय रहता है। चरण 3: यहां अशून्य शर्त जरूरी है क्योंकि (0) से गुणा करने पर परिणाम (0) होगा।
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