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23 votes
23 votes
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

User Shobull
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2 Answers

18 votes
18 votes

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}

User Rami Loiferman
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10 votes
10 votes

Answer:

D

Explanation:

i did it on edge

User Hersheezy
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