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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

factor 12x^5-8x^{12}-32x^3 factor

12 x^{5} - 8 x^{12} - 32 x^{3}

1/3*(2x+3/4)= 1/4 x-1

\frac{1}{3} \cdot (2 x + \frac{3}{4}) = \frac{1}{4} x - 1

7 (x - 2) \leq 2 x + 3

simplify \sqrt[4]{4}+\sqrt[6]{8}-\sqrt[12]{64}simplify

7 x^{2} + 3 x + 3 = 0

Frequently Asked Questions (FAQ)

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