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Popular >

simplify (7+3i)/(5-2i)

Solution

simplify

\frac{7 + 3 i}{5 - 2 i}

Solution

1 + i

Solution steps

\frac{7 + 3 i}{5 - 2 i}

Multiply by the conjugate

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

= \frac{( 7 + 3 i ) ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )}

Simplify

\frac{( 7 + 3 i ) ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )} : \frac{29 + 29 i}{29}

= \frac{29 + 29 i}{29}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{29}{29} + \frac{29}{29} i

Simplify

\frac{29}{29} + \frac{29}{29} i : 1 + i

= 1 + i

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Frequently Asked Questions (FAQ)

What is (7+3i)/(5-2i) ?
The solution to (7+3i)/(5-2i) is 1+i