What is sqrt(49)+sqrt(-50)+sqrt(64)-sqrt(-8) ?

The solution to sqrt(49)+sqrt(-50)+sqrt(64)-sqrt(-8) is 15+3sqrt(2)i

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simplify sqrt(49)+sqrt(-50)+sqrt(64)-sqrt(-8)

simplify

49 + - 50 + 64 - - 8

15 + 32 i

Solution steps

49 + - 50 + 64 - - 8

49 = 7

- 50 = 2 \cdot 5 i

64 = 8

- 8 = 22 i

= 7 + 2 \cdot 5 i + 8 - 22 i

Group like terms

= 2 \cdot 5 i - 22 i + 7 + 8

Add similar elements:

2 \cdot 5 i - 22 i = 32 i

= 32 i + 7 + 8

Add the numbers:

7 + 8 = 15

= 32 i + 15

Rewrite in standard complex form:

15 + 32 i

= 15 + 32 i

(3 x + 8) (x + 10)

6 \times 15

1 \frac{5}{7}

What is sqrt(49)+sqrt(-50)+sqrt(64)-sqrt(-8) ?
The solution to sqrt(49)+sqrt(-50)+sqrt(64)-sqrt(-8) is 15+3sqrt(2)i