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Which of the following complex numbers is equal to $\sqrt{-80} – \sqrt{-125}$ ?
- $ \quad -9i\sqrt{5}$
- $ \quad -3i\sqrt{5}$
- $ \quad -i\sqrt{5}$
- $ \quad i$
- $ \quad 3i\sqrt{5}$
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Which of the following complex numbers is equal to $\dfrac{i-1}{i+1}$ ?
- $ \quad -i-1$
- $ \quad -i+1$
- $ \quad -i$
- $ \quad i-1$
- $ \quad i$
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Which of the following is equal to the sum of the complex numbers $(2+i)^2$ and $(2-i)^2$ ?
- $ \quad 4$
- $ \quad 6$
- $ \quad 10$
- $ \quad 6i$
- $ \quad 8i$
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Which of the following equations has roots at $2$, $2i$, and $-2i$ ?
- $ \quad (x-2)(x^2+4)$
- $ \quad (x-2)(x^2-4)$
- $ \quad (x+2)(x^2+4)$
- $ \quad (x+2)(x^2-4)$
- $ \quad (x+2)(x-2)^2$
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What does $i – i^2 + i^3 – i^4 + \cdots + i^{97} – i^{98}$ equal, where the imaginary number $i$ is defined as $i^2=-1$ ?
- $ \quad -i-1$
- $ \quad -i+1$
- $ \quad 0$
- $ \quad i-1$
- $ \quad i+1$
Which of the following complex numbers is equal to $\sqrt{-80} – \sqrt{-125}$ ?
- $ \quad -9i\sqrt{5}$
- $ \quad -3i\sqrt{5}$
- $ \quad -i\sqrt{5}$
- $ \quad i$
- $ \quad 3i\sqrt{5}$
Which of the following complex numbers is equal to $\dfrac{i-1}{i+1}$ ?
- $ \quad -i-1$
- $ \quad -i+1$
- $ \quad -i$
- $ \quad i-1$
- $ \quad i$
Which of the following is equal to the sum of the complex numbers $(2+i)^2$ and $(2-i)^2$ ?
- $ \quad 4$
- $ \quad 6$
- $ \quad 10$
- $ \quad 6i$
- $ \quad 8i$
Which of the following equations has roots at $2$, $2i$, and $-2i$ ?
- $ \quad (x-2)(x^2+4)$
- $ \quad (x-2)(x^2-4)$
- $ \quad (x+2)(x^2+4)$
- $ \quad (x+2)(x^2-4)$
- $ \quad (x+2)(x-2)^2$
What does $i – i^2 + i^3 – i^4 + \cdots + i^{97} – i^{98}$ equal, where the imaginary number $i$ is defined as $i^2=-1$ ?
- $ \quad -i-1$
- $ \quad -i+1$
- $ \quad 0$
- $ \quad i-1$
- $ \quad i+1$
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