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Popular >

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

Solution

simplify

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

Solution

5

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 5 + 5 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{10}{2}

= \frac{10}{2}

Divide the numbers:

\frac{10}{2} = 5

= 5

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Frequently Asked Questions (FAQ)

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