What is (5-sqrt(-9))(-1+sqrt(-4)) ?

The solution to (5-sqrt(-9))(-1+sqrt(-4)) is 1+13i

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simplify (5-sqrt(-9))(-1+sqrt(-4))

simplify

(5 - - 9) (- 1 + - 4)

1 + 13 i

Solution steps

(5 - - 9) (- 1 + - 4)

- 9 = 3 i

= (5 - 3 i) (- 1 + - 4)

- 4 = 2 i

= (5 - 3 i) (- 1 + 2 i)

Apply FOIL method

(5 - 3 i) (- 1 + 2 i) : 13 i + 1

= 13 i + 1

Rewrite in standard complex form:

1 + 13 i

= 1 + 13 i

(3^{2})^{3} \cdot (2 \cdot 3^{5})^{- 2} \cdot (18)^{2}

1 - x^{8}

2 + \frac{1}{3 + \frac{1}{1 + \frac{1}{1 + \frac{1}{2}}}}

(6 + 2)^{2}

(6 - 2 x)^{4}

What is (5-sqrt(-9))(-1+sqrt(-4)) ?
The solution to (5-sqrt(-9))(-1+sqrt(-4)) is 1+13i