यदि \(x=\sqrt{3}-\sqrt{2}\) है तो (x) के बारे में सही कथन कौन सा है?
If \(x=\sqrt{3}-\sqrt{2}\) then which statement about (x) is correct?
Explanation opens after your attempt
Correct Answer
B. (x) अपरिमेय है(x) is irrational
Concept
Suppose \(\sqrt{3}-\sqrt{2}\) is rational.
Why this answer is correct
Squaring gives \(5-2\sqrt{6}\), forcing \(\sqrt{6}\) to be rational which is false.
Exam Tip
The difference of unlike radicals is not directly an integer. चरण 1: मान लें \(\sqrt{3}-\sqrt{2}\) परिमेय है। चरण 2: वर्ग करने पर \(5-2\sqrt{6}\) से \(\sqrt{6}\) परिमेय होना पड़ेगा जो गलत है। चरण 3: अलग-अलग वर्गमूलों का अंतर सीधे पूर्णांक नहीं माना जाता।
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