What is sqrt(100)+sqrt(-27)-sqrt(4)+sqrt(-108) ?

The solution to sqrt(100)+sqrt(-27)-sqrt(4)+sqrt(-108) is 8+9sqrt(3)i

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simplify sqrt(100)+sqrt(-27)-sqrt(4)+sqrt(-108)

simplify

100 + - 27 - 4 + - 108

8 + 93 i

Solution steps

100 + - 27 - 4 + - 108

100 = 10

- 27 = 33 i

4 = 2

- 108 = 63 i

= 10 + 33 i - 2 + 63 i

Group like terms

= 33 i + 63 i + 10 - 2

Add similar elements:

33 i + 63 i = 93 i

= 93 i + 10 - 2

Subtract the numbers:

10 - 2 = 8

= 93 i + 8

Rewrite in standard complex form:

8 + 93 i

= 8 + 93 i

- \frac{- 2}{2}

(- 1 - i) (- 1 + i)

\frac{2 ( a ) ^{3}}{10 a ^{5}}

(- 2 x + 5)^{2}

- 4 \cdot (- 6)

What is sqrt(100)+sqrt(-27)-sqrt(4)+sqrt(-108) ?
The solution to sqrt(100)+sqrt(-27)-sqrt(4)+sqrt(-108) is 8+9sqrt(3)i