What is (12-sqrt(8)i)(4-sqrt(2)i) ?

The solution to (12-sqrt(8)i)(4-sqrt(2)i) is 44-20sqrt(2)i

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simplify (12-sqrt(8)i)(4-sqrt(2)i)

simplify

(12 - 8 i) (4 - 2 i)

44 - 202 i

Solution steps

(12 - 8 i) (4 - 2 i)

Apply complex arithmetic rule:

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

= (12 \cdot 4 - (- 8) (- 2)) + (12 (- 2) - 8 \cdot 4) i

Simplify

(12 \cdot 4 - (- 8) (- 2)) + (12 (- 2) - 8 \cdot 4) i : 44 - 202 i

= 44 - 202 i

6 (\frac{1}{4})

(- 5 x^{3} y) (4 x^{8} y)

5 x^{4} y^{3} \cdot x^{2} y

(- i + 3)^{3}

(- \frac{3}{2}) + \frac{8}{5}

What is (12-sqrt(8)i)(4-sqrt(2)i) ?
The solution to (12-sqrt(8)i)(4-sqrt(2)i) is 44-20sqrt(2)i