What is (sqrt(-2)+2i)(6+5i) ?

The solution to (sqrt(-2)+2i)(6+5i) is (-5sqrt(2)-10)+6(2+sqrt(2))i

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simplify (sqrt(-2)+2i)(6+5i)

simplify

(- 2 + 2 i) (6 + 5 i)

(- 52 - 10) + 6 (2 + 2) i

Solution steps

(- 2 + 2 i) (6 + 5 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (- 2 \cdot 6 - 2 \cdot 5) + (- 2 \cdot 5 + 2 \cdot 6) i

Simplify

(- 2 \cdot 6 - 2 \cdot 5) + (- 2 \cdot 5 + 2 \cdot 6) i : (2 i 6 - 10) + (2 i 5 + 12) i

= (2 i 6 - 10) + (2 i 5 + 12) i

Simplify

(2 i 6 - 10) + (2 i 5 + 12) i : 6 i (2 + 2) - 52 - 10

= 6 i (2 + 2) - 52 - 10

Rewrite in standard complex form:

(- 52 - 10) + 6 (2 + 2) i

= (- 52 - 10) + 6 (2 + 2) i

Expand

6 (2 + 2) : 12 + 62

= (- 52 - 10) + (12 + 62) i

Simplify

(- 52 - 10) + (12 + 62) i : - 52 - 10 + 6 i (2 + 2)

= - 52 - 10 + 6 i (2 + 2)

Rewrite in standard complex form:

(- 52 - 10) + 6 (2 + 2) i

= (- 52 - 10) + 6 (2 + 2) i

(b + 1)^{2}

\frac{x}{4} - \frac{y}{5}

(- 4)^{2} + 4^{2}

(- \frac{4}{x ^{4}})^{- 3}

\frac{1}{3} + \frac{7}{5}

What is (sqrt(-2)+2i)(6+5i) ?
The solution to (sqrt(-2)+2i)(6+5i) is (-5sqrt(2)-10)+6(2+sqrt(2))i