\(\frac{1}{2+\sqrt{3}}\) का परिमेय हर वाला रूप क्या है?
What is the form of \(\frac{1}{2+\sqrt{3}}\) with a rational denominator?
Explanation opens after your attempt
Correct Answer
A. \(2-\sqrt{3}\)
Concept
The conjugate of the denominator is \(2-\sqrt{3}\).
Why this answer is correct
\(\frac{1}{2+\sqrt{3}}\times\frac{2-\sqrt{3}}{2-\sqrt{3}}=\frac{2-\sqrt{3}}{4-3}=2-\sqrt{3}\).
Exam Tip
For rationalisation, multiply by the conjugate. चरण 1: हर का संयुग्म \(2-\sqrt{3}\) है। चरण 2: \(\frac{1}{2+\sqrt{3}}\times\frac{2-\sqrt{3}}{2-\sqrt{3}}=\frac{2-\sqrt{3}}{4-3}=2-\sqrt{3}\)। चरण 3: परिमेयकरण में संयुग्म से गुणा करें।
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