\(\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\) का सरलतम परिमेयकृत रूप क्या है?
What is the simplest rationalized form of \(\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\)?
Explanation opens after your attempt
Correct Answer
A. \(4-\sqrt{15}\)
Concept
Multiplying by the conjugate gives \(\frac{8-2\sqrt{15}}{2}=4-\sqrt{15}\). In exams simplify the fraction at the end.
Why this answer is correct
The correct answer is A. \(4-\sqrt{15}\). Multiplying by the conjugate gives \(\frac{8-2\sqrt{15}}{2}=4-\sqrt{15}\). In exams simplify the fraction at the end.
Exam Tip
हर के संयुग्मी से गुणा करने पर \(\frac{8-2\sqrt{15}}{2}=4-\sqrt{15}\) मिलता है। परीक्षा में अंत में भिन्न को सरल करें।
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