What is (4-isqrt(2))/(4+isqrt(2)) ?

The solution to (4-isqrt(2))/(4+isqrt(2)) is 7/9-(4sqrt(2))/9 i

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simplify (4-isqrt(2))/(4+isqrt(2))

simplify

\frac{4 - i 2}{4 + i 2}

\frac{7}{9} - \frac{4 2}{9} i

Solution steps

\frac{4 - i 2}{4 + i 2}

Rewrite

4 - i 2

in standard complex form:

4 - 2 i

Rewrite

4 + i 2

in standard complex form:

4 + 2 i

= \frac{4 - 2 i}{4 + 2 i}

Multiply by the conjugate

\frac{4 - 2 i}{4 - 2 i}

= \frac{( 4 - 2 i ) ( 4 - 2 i )}{( 4 + 2 i ) ( 4 - 2 i )}

Simplify

\frac{( 4 - 2 i ) ( 4 - 2 i )}{( 4 + 2 i ) ( 4 - 2 i )} : \frac{- 8 2 i + 14}{18}

= \frac{- 8 2 i + 14}{18}

Rewrite in standard complex form:

\frac{7}{9} - \frac{4 2}{9} i

= \frac{7}{9} - \frac{4 2}{9} i

- 320

- 4 x + 16

- 7 x + 14 > - 3 x - 6

- 4 x + 6 = 9 x - 8

2 x^{2} - 5 x - 3 > 0

What is (4-isqrt(2))/(4+isqrt(2)) ?
The solution to (4-isqrt(2))/(4+isqrt(2)) is 7/9-(4sqrt(2))/9 i