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