Simplify (1+i square root of 2)-(1-i square root of 2)

$(1 + i \sqrt{2}) - (1 - i \sqrt{2})$

Simplify each term.

Apply the distributive property.

$1 + i \sqrt{2} - 1 \cdot 1 - (- i \sqrt{2})$

Multiply $- 1$ by $1$ .

$1 + i \sqrt{2} - 1 - (- i \sqrt{2})$

Multiply $- (- i \sqrt{2})$ .

Multiply $- 1$ by $- 1$ .

$1 + i \sqrt{2} - 1 + 1 (i \sqrt{2})$

Multiply $\sqrt{2}$ by $1$ .

$1 + i \sqrt{2} - 1 + \sqrt{2} i$

$1 + i \sqrt{2} - 1 + \sqrt{2} i$

$1 + i \sqrt{2} - 1 + \sqrt{2} i$

Simplify by adding terms.

Subtract $1$ from $1$ .

$i \sqrt{2} + 0 + \sqrt{2} i$

Simplify the expression.

Add $i \sqrt{2}$ and $0$ .

$i \sqrt{2} + \sqrt{2} i$

Reorder the factors of $\sqrt{2} i$ .

$i \sqrt{2} + i \sqrt{2}$

$i \sqrt{2} + i \sqrt{2}$

Add $i \sqrt{2}$ and $i \sqrt{2}$ .

$2 i \sqrt{2}$

$2 i \sqrt{2}$

Related Questions