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Popular >

simplify 3/(1-2i)

Solution

simplify

\frac{3}{1 - 2 i}

Solution

\frac{3}{5} + \frac{6}{5} i

Solution steps

\frac{3}{1 - 2 i}

Multiply by the conjugate

\frac{1 + 2 i}{1 + 2 i}

= \frac{3 ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

\frac{3 ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{3 + 6 i}{5}

= \frac{3 + 6 i}{5}

Rewrite in standard complex form:

\frac{3}{5} + \frac{6}{5} i

= \frac{3}{5} + \frac{6}{5} i

Popular Examples

\frac{2}{5} x = 6

factor 2x^2-2xy-4y^2 factor

2 x^{2} - 2 x y - 4 y^{2}

factor (2+2b)^2-a-2b factor

(2 + 2 b)^{2} - a - 2 b

simplify ((12x^{-2})^0)/(6x^4y^{-3)}simplify

\frac{( 12 x ^{- 2} ) ^{0}}{6 x ^{4} y ^{- 3}}

2.18*0.128*(x-11)=-(8.09)(4.186)(x-52.8)

2.18 \cdot 0.128 \cdot (x - 11) = - (8.09) (4.186) (x - 52.8)

Frequently Asked Questions (FAQ)

What is 3/(1-2i) ?
The solution to 3/(1-2i) is 3/5+6/5 i