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Popular >

simplify (52i)/(5+i)

Solution

simplify

\frac{52 i}{5 + i}

Solution

2 + 10 i

Solution steps

\frac{52 i}{5 + i}

Multiply by the conjugate

\frac{5 - i}{5 - i}

= \frac{52 i ( 5 - i )}{( 5 + i ) ( 5 - i )}

Simplify

\frac{52 i ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{260 i + 52}{26}

= \frac{260 i + 52}{26}

Rewrite in standard complex form:

2 + 10 i

= 2 + 10 i

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Frequently Asked Questions (FAQ)

What is (52i)/(5+i) ?
The solution to (52i)/(5+i) is 2+10i