What is simplify-sqrt(36)-sqrt(-162)-sqrt(49)+sqrt(-72) ?

The solution to simplify-sqrt(36)-sqrt(-162)-sqrt(49)+sqrt(-72) is -13-3sqrt(2)i

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simplify-sqrt(36)-sqrt(-162)-sqrt(49)+sqrt(-72)

simplify

- 36 - - 162 - 49 + - 72

- 13 - 32 i

Solution steps

- 36 - - 162 - 49 + - 72

- 36 = - 6

- 162 = 2 \cdot 9 i

49 = 7

- 72 = 62 i

= - 6 - 2 \cdot 9 i - 7 + 62 i

Group like terms

= - 2 \cdot 9 i + 62 i - 6 - 7

Add similar elements:

- 2 \cdot 9 i + 62 i = - 32 i

= - 32 i - 6 - 7

Subtract the numbers:

- 6 - 7 = - 13

= - 32 i - 13

Rewrite in standard complex form:

- 13 - 32 i

= - 13 - 32 i

12 x - 4

16 \cdot (\frac{4}{7})^{- 2}

100 \times 100

\frac{- 3}{96}

2 x (2 x + 3)

What is simplify-sqrt(36)-sqrt(-162)-sqrt(49)+sqrt(-72) ?
The solution to simplify-sqrt(36)-sqrt(-162)-sqrt(49)+sqrt(-72) is -13-3sqrt(2)i