What is (24+3i)/(6-3i) ?

The solution to (24+3i)/(6-3i) is 3+2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (24+3i)/(6-3i)

simplify

\frac{24 + 3 i}{6 - 3 i}

3 + 2 i

Solution steps

\frac{24 + 3 i}{6 - 3 i}

Multiply by the conjugate

\frac{6 + 3 i}{6 + 3 i}

= \frac{( 24 + 3 i ) ( 6 + 3 i )}{( 6 - 3 i ) ( 6 + 3 i )}

Simplify

\frac{( 24 + 3 i ) ( 6 + 3 i )}{( 6 - 3 i ) ( 6 + 3 i )} : \frac{135 + 90 i}{45}

= \frac{135 + 90 i}{45}

Apply the fraction rule:

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

= \frac{135}{45} + \frac{90}{45} i

Simplify

\frac{135}{45} + \frac{90}{45} i : 3 + 2 i

= 3 + 2 i

(\frac{2}{3})^{15}

- 3^{7}

(2 x - y)^{4}

x (2 - x)^{2}