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What is the square root of -1700?

Updated: 10/24/2022
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12y ago

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This solution involves imaginary numbers where the identity i2 = -1 is used and thus √-1 = i

√-1700 = √(-1 x 1700)

√-1 = i and √1700 = √(17 x 100 ) = √(17 x 102) = 10√17...so one way of expressing the answer is 10i√17. However, the square root of a positive number can be either positive or negative so the full answer is, √-1700 = ± 10i√17.

Similarly, the solution can be written as, ± 41.231i. (3dp)

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12y ago
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13y ago

41.2310563

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Q: What is the square root of -1700?
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