\(\frac{\sqrt{7}+\sqrt{2}}{\sqrt{7}-\sqrt{2}}\) का सरल रूप कौन-सा है?
Which is the simplified form of \(\frac{\sqrt{7}+\sqrt{2}}{\sqrt{7}-\sqrt{2}}\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{9+2\sqrt{14}}{5}\)
Concept
Multiplying by the conjugate gives numerator \(9+2\sqrt{14}\) and denominator (5). So the simplified form is \(\frac{9+2\sqrt{14}}{5}\).
Why this answer is correct
The correct answer is A. \(\frac{9+2\sqrt{14}}{5}\). Multiplying by the conjugate gives numerator \(9+2\sqrt{14}\) and denominator (5). So the simplified form is \(\frac{9+2\sqrt{14}}{5}\).
Exam Tip
संयुग्मी से गुणा करने पर अंश \(9+2\sqrt{14}\) और हर (5) मिलता है। इसलिए सरल रूप \(\frac{9+2\sqrt{14}}{5}\) है।
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