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Popular >

simplify (7+5i)/(1+i)

Solution

simplify

\frac{7 + 5 i}{1 + i}

Solution

6 - i

Solution steps

\frac{7 + 5 i}{1 + i}

Multiply by the conjugate

\frac{1 - i}{1 - i}

= \frac{( 7 + 5 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 7 + 5 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{12 - 2 i}{2}

= \frac{12 - 2 i}{2}

Apply the fraction rule:

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

= \frac{12}{2} + \frac{- 2}{2} i

Simplify

\frac{12}{2} + \frac{- 2}{2} i : 6 - i

= 6 - i

Popular Examples

0.125x=0.025(5x+1)

0.125 x = 0.025 (5 x + 1)

simplify 7/18+7/36 simplify

\frac{7}{18} + \frac{7}{36}

-2x<=-6\lor-2x>= 0

- 2 x \leq - 6 or - 2 x \geq 0

simplify sqrt(8624)simplify

8624

(x-9)^2=x^2+6x+9

(x - 9)^{2} = x^{2} + 6 x + 9

Frequently Asked Questions (FAQ)

What is (7+5i)/(1+i) ?
The solution to (7+5i)/(1+i) is 6-i