en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

i

Solution steps

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

Multiply by the conjugate

\frac{3 + 2 i}{3 + 2 i}

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

Simplify

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

= \frac{13 i}{13}

Cancel the common factor:

13

= i

Popular Examples

\frac{5}{4} \div \frac{7}{16}

- 3 \div \frac{1}{4}

simplify (-isqrt(3))^2 simplify

(- i 3)^{2}

simplify sqrt(50)\times sqrt(5)simplify

50 \times 5

factor 2x+128 factor

2 x + 128

Frequently Asked Questions (FAQ)

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