What is (3+sqrt(-8))-(2-sqrt(-32)) ?

The solution to (3+sqrt(-8))-(2-sqrt(-32)) is 1+6sqrt(2)i

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simplify (3+sqrt(-8))-(2-sqrt(-32))

simplify

(3 + - 8) - (2 - - 32)

1 + 62 i

Solution steps

(3 + - 8) - (2 - - 32)

Apply rule:

(a) = a

(3 + - 8) = 3 + - 8

= 3 + - 8 - (2 - - 32)

- 8 = 22 i

- (2 - - 32) = - 2 + 42 i

= 3 + 22 i - 2 + 42 i

Group like terms

= 22 i + 42 i + 3 - 2

Add similar elements:

22 i + 42 i = 62 i

= 62 i + 3 - 2

Subtract the numbers:

3 - 2 = 1

= 62 i + 1

Rewrite in standard complex form:

1 + 62 i

= 1 + 62 i

- 5 (7 y + 3) - 2 y

(4 - 5 y) (16 x^{2} + 20 x y + 25 y^{2})

\frac{9}{1 - 3}

\frac{3 ( n + 1 ) !}{5 n !}

What is (3+sqrt(-8))-(2-sqrt(-32)) ?
The solution to (3+sqrt(-8))-(2-sqrt(-32)) is 1+6sqrt(2)i