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Popular >

simplify (2+5i)/(5-2i)

Solution

simplify

\frac{2 + 5 i}{5 - 2 i}

Solution

i

Solution steps

\frac{2 + 5 i}{5 - 2 i}

Multiply by the conjugate

\frac{5 + 2 i}{5 + 2 i}

= \frac{( 2 + 5 i ) ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )}

Simplify

\frac{( 2 + 5 i ) ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )} : \frac{29 i}{29}

= \frac{29 i}{29}

Cancel the common factor:

29

= i

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Frequently Asked Questions (FAQ)

What is (2+5i)/(5-2i) ?
The solution to (2+5i)/(5-2i) is i