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Popular >

simplify (3+4i)/(2+i)

Solution

simplify

\frac{3 + 4 i}{2 + i}

Solution

2 + i

Solution steps

\frac{3 + 4 i}{2 + i}

Multiply by the conjugate

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

= \frac{( 3 + 4 i ) ( 2 - i )}{( 2 + i ) ( 2 - i )}

Simplify

\frac{( 3 + 4 i ) ( 2 - i )}{( 2 + i ) ( 2 - i )} : \frac{10 + 5 i}{5}

= \frac{10 + 5 i}{5}

Apply the fraction rule:

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

= \frac{10}{5} + \frac{5}{5} i

Simplify

\frac{10}{5} + \frac{5}{5} i : 2 + i

= 2 + i

Popular Examples

simplify (2k^2-k-15)/(k^2-9)simplify

\frac{2 k ^{2} - k - 15}{k ^{2} - 9}

(2x+3)/3 >(6x+2)/9

\frac{2 x + 3}{3} > \frac{6 x + 2}{9}

factor x^4+x factor

x^{4} + x

(2m+2)^2+(3m)^2=(5m)^2

(2 m + 2)^{2} + (3 m)^{2} = (5 m)^{2}

x^2+16x-145=10x-7

x^{2} + 16 x - 145 = 10 x - 7

Frequently Asked Questions (FAQ)

What is (3+4i)/(2+i) ?
The solution to (3+4i)/(2+i) is 2+i