What is (2+sqrt(-8))/(1+sqrt(-2)) ?

The solution to (2+sqrt(-8))/(1+sqrt(-2)) is 2

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simplify (2+sqrt(-8))/(1+sqrt(-2))

simplify

\frac{2 + - 8}{1 + - 2}

2

Solution steps

\frac{2 + - 8}{1 + - 2}

- 8 = 22 i

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

- 2 = 2 i

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

Factor out common term

2 : 2 (1 + 2 i)

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

Cancel the common factor:

1 + 2 i

= 2

∣ a ∣ < 8

- 36

- \frac{2}{7} - (- \frac{1}{5})

lo g_{2} (- 2)

4 y^{2} - 81 x^{2}

What is (2+sqrt(-8))/(1+sqrt(-2)) ?
The solution to (2+sqrt(-8))/(1+sqrt(-2)) is 2