What is (7-sqrt(-8))(6+sqrt(-18)) ?

The solution to (7-sqrt(-8))(6+sqrt(-18)) is 54+9sqrt(2)i

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simplify (7-sqrt(-8))(6+sqrt(-18))

simplify

(7 - - 8) (6 + - 18)

54 + 92 i

Solution steps

(7 - - 8) (6 + - 18)

- 8 = 22 i

= (7 - 22 i) (6 + - 18)

- 18 = 2 \cdot 3 i

= (7 - 22 i) (6 + 2 \cdot 3 i)

Apply FOIL method

(7 - 22 i) (6 + 2 \cdot 3 i) : 92 i + 54

= 92 i + 54

Rewrite in standard complex form:

54 + 92 i

= 54 + 92 i

\frac{60}{50}

- 9 (8 - 2 h)

\frac{25}{320}

10 x^{3} + 15 x^{2}

12 (a - 4)

What is (7-sqrt(-8))(6+sqrt(-18)) ?
The solution to (7-sqrt(-8))(6+sqrt(-18)) is 54+9sqrt(2)i