\(\frac{4}{\sqrt{13}-\sqrt{5}}\) का परिमेयकृत रूप क्या है?
What is the rationalised form of \(\frac{4}{\sqrt{13}-\sqrt{5}}\)?
Explanation opens after your attempt
Correct Answer
B. \(\frac{\sqrt{13}+\sqrt{5}}{2}\)
Concept
Multiplying by the conjugate makes the denominator (13-5=8). So (\frac{4\(\sqrt{13}+\sqrt{5}\)}{8}=\frac{\sqrt{13}+\sqrt{5}}{2}).
Why this answer is correct
The correct answer is B. \(\frac{\sqrt{13}+\sqrt{5}}{2}\). Multiplying by the conjugate makes the denominator (13-5=8). So (\frac{4\(\sqrt{13}+\sqrt{5}\)}{8}=\frac{\sqrt{13}+\sqrt{5}}{2}).
Exam Tip
संयुग्मी से गुणा करने पर हर (13-5=8) बनता है। इसलिए (\frac{4\(\sqrt{13}+\sqrt{5}\)}{8}=\frac{\sqrt{13}+\sqrt{5}}{2}) है।
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