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Popular >

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

Solution

simplify

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

Solution

1 + i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Simplify

\frac{5}{5} + \frac{5}{5} i : 1 + i

= 1 + i

Popular Examples

5 (x - 1) - 6 x = - 11 x

simplify (e^{sqrt(x)})^2 simplify

(e^{x})^{2}

simplify (sqrt(4))/2 simplify

\frac{4}{2}

longmult 3*1.5 long multiplication

3 \cdot 1.5

∣ x ∣ > 5

Frequently Asked Questions (FAQ)

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