What is (5+isqrt(2))/(1-isqrt(2)) ?

The solution to (5+isqrt(2))/(1-isqrt(2)) is 1+2sqrt(2)i

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simplify (5+isqrt(2))/(1-isqrt(2))

simplify

\frac{5 + i 2}{1 - i 2}

1 + 22 i

Solution steps

\frac{5 + i 2}{1 - i 2}

Rewrite

5 + i 2

in standard complex form:

5 + 2 i

Rewrite

1 - i 2

in standard complex form:

1 - 2 i

= \frac{5 + 2 i}{1 - 2 i}

Multiply by the conjugate

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

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

Simplify

\frac{( 5 + 2 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{6 2 i + 3}{3}

= \frac{6 2 i + 3}{3}

Rewrite in standard complex form:

1 + 22 i

= 1 + 22 i

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lo g_{4} (48)

7 x^{2} + 25 x + 12

What is (5+isqrt(2))/(1-isqrt(2)) ?
The solution to (5+isqrt(2))/(1-isqrt(2)) is 1+2sqrt(2)i