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Popular >

simplify (13)/(2+3i)

Solution

simplify

\frac{13}{2 + 3 i}

Solution

2 - 3 i

Solution steps

\frac{13}{2 + 3 i}

Multiply by the conjugate

\frac{2 - 3 i}{2 - 3 i}

= \frac{13 ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )}

Simplify

\frac{13 ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )} : \frac{26 - 39 i}{13}

= \frac{26 - 39 i}{13}

Apply the fraction rule:

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

= \frac{26}{13} + \frac{- 39}{13} i

Simplify

\frac{26}{13} + \frac{- 39}{13} i : 2 - 3 i

= 2 - 3 i

Popular Examples

factor x^3+10x^2+12x-72 factor

x^{3} + 10 x^{2} + 12 x - 72

1 - \frac{1}{85} x^{2} = 0

factor 16x^2+56x+49 factor

16 x^{2} + 56 x + 49

simplify x^2*2x^2 simplify

x^{2} \cdot 2 x^{2}

x^{2} - 2 x - 24 \geq 0

Frequently Asked Questions (FAQ)

What is (13)/(2+3i) ?
The solution to (13)/(2+3i) is 2-3i