यदि (a) एक परिमेय संख्या है और \(a\neq 0\) है तो \(a\sqrt{3}\) के बारे में कौन सा निष्कर्ष सही है?
If (a) is a rational number and \(a\neq 0\) then which conclusion about \(a\sqrt{3}\) is correct?
Explanation opens after your attempt
Correct Answer
B. यह सदैव अपरिमेय हैIt is always irrational
Concept
(a) is rational and non-zero.
Why this answer is correct
If \(a\sqrt{3}\) were rational then \(\sqrt{3}\) would also become rational which is false.
Exam Tip
In exams always check the special case of multiplication by zero. चरण 1: (a) परिमेय और शून्य नहीं है। चरण 2: यदि \(a\sqrt{3}\) परिमेय मान लें तो \(\sqrt{3}\) भी परिमेय मिलेगा जो गलत है। चरण 3: परीक्षा में शून्य से गुणा वाले विशेष मामले को अलग याद रखें।
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