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If (p=4-\sqrt{15}), what is the value of (\frac{1}{p}-p)?यदि (p=4-\sqrt{15}), तो (\frac{1}{p}-p) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2\sqrt{15})(2\sqrt{15})
Since (\frac{1}{4-\sqrt{15}}=4+\sqrt{15}), (\frac{1}{p}-p=(4+\sqrt{15})-(4-\sqrt{15})=2\sqrt{15}). In exams, the conjugate gives the reciprocal directly when the denominator product is (1).(\frac{1}{4-\sqrt{15}}=4+\sqrt{15}), इसलिए (\frac{1}{p}-p=(4+\sqrt{15})-(4-\sqrt{15})=2\sqrt{15})। परीक्षा में हर (1) बनने पर संयुग्म सीधे उत्तर देता है।
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