What is (4+sqrt(-1))-(6+sqrt(-2)) ?

The solution to (4+sqrt(-1))-(6+sqrt(-2)) is -2+(1-sqrt(2))i

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simplify (4+sqrt(-1))-(6+sqrt(-2))

simplify

(4 + - 1) - (6 + - 2)

- 2 + (1 - 2) i

Solution steps

(4 + - 1) - (6 + - 2)

Apply rule:

(a) = a

(4 + - 1) = 4 + - 1

= 4 + - 1 - (6 + - 2)

- 1 = i

- (6 + - 2) = - 6 - 2 i

= 4 + i - 6 - 2 i

Group like terms

= i - 2 i + 4 - 6

Factor out common term

i : i (1 - 2)

= i (1 - 2) + 4 - 6

Subtract the numbers:

4 - 6 = - 2

= i (1 - 2) - 2

Rewrite in standard complex form:

- 2 + (1 - 2) i

= - 2 + (1 - 2) i

4 x > - 8

\frac{ln ( 2 )}{0.04}

23 (x + 9) = 482

(\frac{7}{9})^{2}

(2 - 5 i) (- 1 + 2 i)

What is (4+sqrt(-1))-(6+sqrt(-2)) ?
The solution to (4+sqrt(-1))-(6+sqrt(-2)) is -2+(1-sqrt(2))i