यदि \(r=\sqrt{13}+\sqrt{7}\) और \(s=\sqrt{13}-\sqrt{7}\) हैं तो \(r^2-s^2\) का मान क्या है?
If \(r=\sqrt{13}+\sqrt{7}\) and \(s=\sqrt{13}-\sqrt{7}\), what is the value of \(r^2-s^2\)?
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{91}\)
Concept
(r-2-s-2=(r-s)(r+s)) where \(r-s=2\sqrt{7}\) and \(r+s=2\sqrt{13}\). So the value is \(4\sqrt{91}\).
Why this answer is correct
The correct answer is A. \(4\sqrt{91}\). (r-2-s-2=(r-s)(r+s)) where \(r-s=2\sqrt{7}\) and \(r+s=2\sqrt{13}\). So the value is \(4\sqrt{91}\).
Exam Tip
(r-2-s-2=(r-s)(r+s)) है जहाँ \(r-s=2\sqrt{7}\) और \(r+s=2\sqrt{13}\) है। इसलिए मान \(4\sqrt{91}\) है।
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