Question

What is the conjugate and the modulus of 6 − 3i?

−6 − 3i ; 3 StartRoot 3 EndRoot
−6 − 3i ; 3 StartRoot 5 EndRoot
6 + 3i ; 3 StartRoot 3 EndRoot
6 + 3i ; 3 StartRoot 5 EndRoot

Answer 1

bear in mind that the conjugate is the same pair with a different sign in between, so the conjugate of spaghetti - cheese is simply spaghetti + cheese and so on. The modulus is simply
`√(a^2+b^2)`

`\stackrel{a}{6}~~ \stackrel{b}{-3}i~~ \begin{cases} conjugate\\ \qquad 6+3i\\[-0.5em] \hrulefill\\ modulus\\ \qquad √(6^2+(-3)^2)\\ \qquad √(45)\\ \qquad 3√(5) \end{cases}`

Answer 2

D

Explanation:

i did it on edge