-46- The value of-i-3-100-i-3-100-2-100

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46. The value...

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46. The value of (i+\sqrt3)^{100+(i-\sqrt3)^{100+2^{100

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(i + \sqrt{3})^{100} + (i - \sqrt{3})^{100} + 2^{100} =

{(i + \sqrt{3})}^{100} + {(i - \sqrt{3})}^{100} + 2^{100} =

(i + \sqrt{3})^{100} + (i - \sqrt{3})^{100} + 2^{100}

$(7 + 4 \sqrt{3})^{100}$ = I + f, where I is the integral part and f is the fractional part of

$(7 + 4 \sqrt{3})^{100}$ . Find the value of (I + f)(1 - f)

2^{100} + 3^{100} + 4^{100} + 5^{100}

7

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