What is (2+sqrt(3)i)/(2-sqrt(3)i) ?

The solution to (2+sqrt(3)i)/(2-sqrt(3)i) is 1/7+(4sqrt(3))/7 i

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simplify (2+sqrt(3)i)/(2-sqrt(3)i)

simplify

\frac{2 + 3 i}{2 - 3 i}

\frac{1}{7} + \frac{4 3}{7} i

Solution steps

\frac{2 + 3 i}{2 - 3 i}

Multiply by the conjugate

\frac{2 + 3 i}{2 + 3 i}

= \frac{( 2 + 3 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{( 2 + 3 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{4 3 i + 1}{7}

= \frac{4 3 i + 1}{7}

Rewrite in standard complex form:

\frac{1}{7} + \frac{4 3}{7} i

= \frac{1}{7} + \frac{4 3}{7} i

(2 x + 5 y)^{6}

(a + 2) (a - 3) (a - 2) (a + 3)

7^{3 l o g_{7} (2) + 2 l o g_{7} (3)}

(6)^{4}

lo g_{e} (7)

What is (2+sqrt(3)i)/(2-sqrt(3)i) ?
The solution to (2+sqrt(3)i)/(2-sqrt(3)i) is 1/7+(4sqrt(3))/7 i