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What is the conjugate of
(5)/(4)-(3)/(4)i?

-(3)/(4)+(5)/(4)i

-(5)/(4)-(3)/(4)i

(5)/(4)+(3)/(4)i

-(5)/(4)+(3)/(4)i

What is the conjugate of $\frac{5}{4}-\frac{3}{4} i ?$ $\newline$ $-\frac{3}{4}+\frac{5}{4} i$ $\newline$ $-\frac{5}{4}-\frac{3}{4} i$ $\newline$ $\frac{5}{4}+\frac{3}{4} i$ $\newline$ $-\frac{5}{4}+\frac{3}{4} i$

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Multiplication with rational exponents

Full solution

Q. What is the conjugate of

\frac{5}{4}-\frac{3}{4} i ?

\newline

-\frac{3}{4}+\frac{5}{4} i

\newline

-\frac{5}{4}-\frac{3}{4} i

\newline

\frac{5}{4}+\frac{3}{4} i

\newline

-\frac{5}{4}+\frac{3}{4} i

Identify Complex Number: The conjugate of a complex number is found by changing the sign of the imaginary part. The complex number given is $(\frac{5}{4}) - (\frac{3}{4})i$ .
Find Conjugate: To find the conjugate, we keep the real part the same, which is $(\frac{5}{4})$ , and change the sign of the imaginary part from $-\left(\frac{3}{4}\right)i$ to $+\left(\frac{3}{4}\right)i$ .
Final Result: Therefore, the conjugate of $(\frac{5}{4}) - (\frac{3}{4})i$ is $(\frac{5}{4}) + (\frac{3}{4})i$ .

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