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Reciprocal of 3+i√7 |
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Answer» ong>Answer: Given COMPLEX number, 3 + √7i, Since, the reciprocal of a complex number z is \frac{1}{z}z1 Thus, the reciprocal of the given number, \frac{1}{3+\sqrt{7}i}3+7i1 For rationalizing the DENOMINATOR, multiply both NUMERATOR and denominator by 3 - √7i, We GET, \frac{3-\sqrt{7}i}{9-7i^2}9−7i23−7i \frac{3-\sqrt{7}i}{9+7}9+73−7i ( i² = -1 ) \frac{3-\sqrt{7}i}{16}163−7i |
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