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If (u=\sqrt{7}+\sqrt{3}) and (v=\sqrt{7}-\sqrt{3}), what is the value of (\frac{u^{2}-v^{2}}{uv})?यदि (u=\sqrt{7}+\sqrt{3}) और (v=\sqrt{7}-\sqrt{3}), तो (\frac{u^{2}-v^{2}}{uv}) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2\sqrt{21})(2\sqrt{21})
Here (u^{2}-v^{2}=(u-v)(u+v)=4\sqrt{3}\cdot2\sqrt{7}=8\sqrt{21}) and (uv=4). Therefore, the value is (2\sqrt{21}).यहाँ (u^{2}-v^{2}=(u-v)(u+v)=4\sqrt{3}\cdot2\sqrt{7}=8\sqrt{21}) और (uv=4) है। इसलिए मान (2\sqrt{21}) है।
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