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Popular >

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

Solution

simplify

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

Solution

1 - i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 5 + i ) ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )} : \frac{13 - 13 i}{13}

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

Apply the fraction rule:

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

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

Simplify

\frac{13}{13} + \frac{- 13}{13} i : 1 - i

= 1 - i

Popular Examples

-27+(12-x)^2=-22

- 27 + (12 - x)^{2} = - 22

factor a^7+a^6b+a^5b^2+a^4b^3+a^3b^4+a^2b^5+ab^6+b^7 factor

a^{7} + a^{6} b + a^{5} b^{2} + a^{4} b^{3} + a^{3} b^{4} + a^{2} b^{5} + a b^{6} + b^{7}

simplify 2/(2^{-3)}simplify

\frac{2}{2 ^{- 3}}

simplify (5!)/(2!*3!)simplify

\frac{5 !}{2 ! \cdot 3 !}

x + 2 = 4 x + 8

Frequently Asked Questions (FAQ)

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