\(\frac{\sqrt{31}+\sqrt{19}}{\sqrt{31}-\sqrt{19}}\) का सरल रूप कौन-सा है?
Which is the simplified form of \(\frac{\sqrt{31}+\sqrt{19}}{\sqrt{31}-\sqrt{19}}\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{25+\sqrt{589}}{6}\)
Concept
Multiplying by the conjugate gives numerator \(50+2\sqrt{589}\) and denominator (12). The simplified form is \(\frac{25+\sqrt{589}}{6}\).
Why this answer is correct
The correct answer is A. \(\frac{25+\sqrt{589}}{6}\). Multiplying by the conjugate gives numerator \(50+2\sqrt{589}\) and denominator (12). The simplified form is \(\frac{25+\sqrt{589}}{6}\).
Exam Tip
संयुग्मी से गुणा करने पर अंश \(50+2\sqrt{589}\) और हर (12) मिलता है। सरल रूप \(\frac{25+\sqrt{589}}{6}\) है।
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