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Popular >

simplify (7i)/(2+2i)

Solution

simplify

\frac{7 i}{2 + 2 i}

Solution

\frac{7}{4} + \frac{7}{4} i

Solution steps

\frac{7 i}{2 + 2 i}

Multiply by the conjugate

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

= \frac{7 i ( 2 - 2 i )}{( 2 + 2 i ) ( 2 - 2 i )}

Simplify

\frac{7 i ( 2 - 2 i )}{( 2 + 2 i ) ( 2 - 2 i )} : \frac{14 i + 14}{8}

= \frac{14 i + 14}{8}

Rewrite in standard complex form:

\frac{7}{4} + \frac{7}{4} i

= \frac{7}{4} + \frac{7}{4} i

Popular Examples

(3(4x-2))/6 =(11x)/2-(3(x+1))/5

\frac{3 ( 4 x - 2 )}{6} = \frac{11 x}{2} - \frac{3 ( x + 1 )}{5}

factor x^4-8x factor

x^{4} - 8 x

factor 4x^2+5x-6 factor

4 x^{2} + 5 x - 6

3 x + 15 = 3 (x + 5)

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

\frac{5 i}{( 2 + 3 i ) ^{2}}

Frequently Asked Questions (FAQ)

What is (7i)/(2+2i) ?
The solution to (7i)/(2+2i) is 7/4+7/4 i