\(\frac{1}{\sqrt{7}+\sqrt{5}}+\frac{1}{\sqrt{7}-\sqrt{5}}\) का मान क्या है?
What is the value of \(\frac{1}{\sqrt{7}+\sqrt{5}}+\frac{1}{\sqrt{7}-\sqrt{5}}\)?
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{7}\)
Concept
After rationalising the terms become \(\frac{\sqrt{7}-\sqrt{5}}{2}\) and \(\frac{\sqrt{7}+\sqrt{5}}{2}\). The sum is \(\sqrt{7}\).
Why this answer is correct
The correct answer is A. \(\sqrt{7}\). After rationalising the terms become \(\frac{\sqrt{7}-\sqrt{5}}{2}\) and \(\frac{\sqrt{7}+\sqrt{5}}{2}\). The sum is \(\sqrt{7}\).
Exam Tip
दोनों पदों को परिमेयकृत करने पर \(\frac{\sqrt{7}-\sqrt{5}}{2}\) और \(\frac{\sqrt{7}+\sqrt{5}}{2}\) मिलते हैं। योग \(\sqrt{7}\) है।
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