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Popular >

simplify (2i)/(6+2i)

Solution

simplify

\frac{2 i}{6 + 2 i}

Solution

\frac{1}{10} + \frac{3}{10} i

Solution steps

\frac{2 i}{6 + 2 i}

Multiply by the conjugate

\frac{6 - 2 i}{6 - 2 i}

= \frac{2 i ( 6 - 2 i )}{( 6 + 2 i ) ( 6 - 2 i )}

Simplify

\frac{2 i ( 6 - 2 i )}{( 6 + 2 i ) ( 6 - 2 i )} : \frac{12 i + 4}{40}

= \frac{12 i + 4}{40}

Rewrite in standard complex form:

\frac{1}{10} + \frac{3}{10} i

= \frac{1}{10} + \frac{3}{10} i

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Frequently Asked Questions (FAQ)

What is (2i)/(6+2i) ?
The solution to (2i)/(6+2i) is 1/10+3/10 i