Understanding and applying conjugates of complex numbers

What is the conjugate of 2 + √3i

• 2 + √3i

• 2 - √3 i

• -2 + √3 i

• -2 - √3 i

What is the conjugate of

7 - 5i

• 7 - 5i

• 7 + 5i

• -7 - 5i

• -7 + 5i

Which of the following is the complex conjugate of 3 + 4i?

• -3 + 4i
• -3 - 4i
• 3 - 4i
• 7i

The multiplicative inverse of  $3\ -4i\ =$  

•  $\frac{3}{25}\ +\frac{4}{25}i$  

•  $\frac{3}{25}\ -\ \frac{4}{25}i$  

•  $\frac{3}{7}+\frac{4}{7}i$  

•  $\frac{3}{7}-\frac{4}{7}i$  

What is the conjugate of

-3i

• 3i

• -3i

• -3

• 3

What is the conjugate of the complex number (4 - 3i)?

• 4 + 3i

• 4 + 3

• 4 - 3i

• 3 - 4i

Which of the following is the reciprocal of i.

• -i

• i

• 1

• -1

The multiplicative inverse of  $1\ +i\ =$  

•  $\frac{1}{2}-\frac{1}{2}i$  

•  $\frac{1}{2}\ +\ \frac{1}{2}i$  

•  $\frac{1}{1+i}$  

•  $\frac{1}{1-i}$