What is (2-isqrt(3))/(2+isqrt(3)) ?

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

Popular >

simplify (2-isqrt(3))/(2+isqrt(3))

simplify

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

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

Solution steps

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

Rewrite

2 - i 3

in standard complex form:

2 - 3 i

Rewrite

2 + i 3

in standard complex form:

2 + 3 i

= \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

\frac{1}{6} \div 3

\frac{\frac{x - 8}{x ^{2} - 2 x}}{\frac{3 x ^{2} - 24 x}{3 x ^{2}}}

7 x + 4^{2} - [1 0^{2} + 5 (2 x - 3) + 7 (2 x - 1)]

- 225

\frac{30}{42}

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