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Popular >

simplify (2+i)/(1-2i)

Solution

simplify

\frac{2 + i}{1 - 2 i}

Solution

i

Solution steps

\frac{2 + i}{1 - 2 i}

Multiply by the conjugate

\frac{1 + 2 i}{1 + 2 i}

= \frac{( 2 + i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

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

= \frac{5 i}{5}

Cancel the common factor:

5

= i

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Frequently Asked Questions (FAQ)

What is (2+i)/(1-2i) ?
The solution to (2+i)/(1-2i) is i