Question

Indicate the real part, imaginary part and its conjugate:
4+3\sqrt{-25} / 20

Answer 1

\[4+3\sqrt{-25}/20\]

Answer 2

\[\frac{4+3\sqrt{-25}}{20}\]?

Answer 3

yes

Answer 4

or
\[4+\frac{3\sqrt{25}}{20}\]

Answer 5

the first one you got

Answer 6

\[\sqrt{-25}=\sqrt{25}\sqrt{-1}=5i\]

Answer 7

so
\[\frac{4+3\sqrt{-25}}{20}=\frac{4}{20}+\frac{15}{20}i\]

Answer 8

or if you care to reduce the fractions '
\[\frac{1}{5}+\frac{3}{4}i\]

Answer 9

thats the conjugate?

Answer 10

no, that is the original number

Answer 11

oh ok, so how would I find the conjugate?

Answer 12

first of all you have to say what the real part is, and what the imaginary part is
do you know it?

Answer 13

the imaginary part is sqrt-25 , wait do I define these using the answer you got or just the original equation?

Answer 14

i see you might be confused here
the way to write a complex number in standard form is \(a+bi\) not that goofy way your original number was
if we do that we get
\[\frac{1}{5}+\frac{3}{4}i\]

Answer 15

that is the number you need to be looking at to answer all the questions

Answer 16

oh ok so the imaginary is 3/4 and the real is 1/5

Answer 17

yes

Answer 18

so the conjugate would be 1/5 - 3/4i?

Answer 19

yes

Answer 20

oohh I get it now thank you! :)