यदि \(r=\sqrt{17}+\sqrt{11}\) और \(s=\sqrt{17}-\sqrt{11}\) हैं तो \(r^2-s^2\) का मान क्या है?
If \(r=\sqrt{17}+\sqrt{11}\) and \(s=\sqrt{17}-\sqrt{11}\), what is the value of \(r^2-s^2\)?
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{187}\)
Concept
(r-2-s-2=(r-s)(r+s)), where \(r-s=2\sqrt{11}\) and \(r+s=2\sqrt{17}\). So the value is \(4\sqrt{187}\).
Why this answer is correct
The correct answer is A. \(4\sqrt{187}\). (r-2-s-2=(r-s)(r+s)), where \(r-s=2\sqrt{11}\) and \(r+s=2\sqrt{17}\). So the value is \(4\sqrt{187}\).
Exam Tip
(r-2-s-2=(r-s)(r+s)) है जहाँ \(r-s=2\sqrt{11}\) और \(r+s=2\sqrt{17}\) है। इसलिए मान \(4\sqrt{187}\) है।
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