\(\frac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}}\) का सरल रूप कौन-सा है?
Which is the simplified form of \(\frac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}}\)?
Explanation opens after your attempt
B. \(\frac{5+\sqrt{21}}{2}\)
Concept
Multiplying by the conjugate gives numerator \(10+2\sqrt{21}\) and denominator (4). So the simplified form is \(\frac{5+\sqrt{21}}{2}\).
Why this answer is correct
The correct answer is B. \(\frac{5+\sqrt{21}}{2}\). Multiplying by the conjugate gives numerator \(10+2\sqrt{21}\) and denominator (4). So the simplified form is \(\frac{5+\sqrt{21}}{2}\).
Exam Tip
संयुग्मी से गुणा करने पर अंश \(10+2\sqrt{21}\) और हर (4) मिलता है। इसलिए सरल रूप \(\frac{5+\sqrt{21}}{2}\) है।
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