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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


Sagot :

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 [tex]\sqrt{a^2+b^2}[/tex]

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

Answer:

D

Step-by-step explanation:

i did it on edge