\(\frac{\sqrt{11}+\sqrt{2}}{\sqrt{11}-\sqrt{2}}\) का सरल रूप कौन-सा है?
Which is the simplified form of \(\frac{\sqrt{11}+\sqrt{2}}{\sqrt{11}-\sqrt{2}}\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{13+2\sqrt{22}}{9}\)
Concept
Multiplying by the conjugate gives numerator \(13+2\sqrt{22}\) and denominator (11-2=9). So the simplified form is \(\frac{13+2\sqrt{22}}{9}\).
Why this answer is correct
The correct answer is A. \(\frac{13+2\sqrt{22}}{9}\). Multiplying by the conjugate gives numerator \(13+2\sqrt{22}\) and denominator (11-2=9). So the simplified form is \(\frac{13+2\sqrt{22}}{9}\).
Exam Tip
संयुग्मी से गुणा करने पर अंश \(13+2\sqrt{22}\) और हर (11-2=9) मिलता है। इसलिए सरल रूप \(\frac{13+2\sqrt{22}}{9}\) है।
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