Number Theory T...

The sum of prime numbers, out of the numbers $$17, 8, 21, 13, 41, 2, 27, 31, 51$$ is:

If $$z_1=4+i,z_2=4-i $$ find $$z_1z_2$$

$$z_1=9+8i\ \ \  |z|=$$

Mark against the correct answer in each of the following .
$$i^{-38}=$$?

Which of the following is a prime number?

Which of the following is a prime number?

Mark against the correct answer in each of the following .
$$i^{-75}=$$?

Mark against the correct answer in each of the following .
$$i^{124}=$$?

The real part of $$\left ( \dfrac{1+i}{3-i} \right )^2=$$

If $$z_1$$ and $$z_2$$ are two complex numbers, then $$Re(z_1z_2)$$ is: