What is the simplified square root of negative eleven thousand three hundred?

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Guest Oct 15, 2014

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Best Answer

The square root of a negative number is an "imaginary" quantity

Slightly modifying geno's answer, we have

√(-11300) =√(-1)* √100 *·√113 = i * 10 * √113 ...or just.....10i√113

[Remember that i^2 = -1 .....so......i = √(-1) ]

CPhill Oct 15, 2014

CPhill · Answer 1 · 2014-10-15T12:50:58

The square root of a negative number is an "imaginary" quantity

Slightly modifying geno's answer, we have

√(-11300) =√(-1)* √100 *·√113 = i * 10 * √113 ...or just.....10i√113

[Remember that i^2 = -1 .....so......i = √(-1) ]

geno3141 · Answer 2 · 2014-10-15T12:05:07

√11300 = √100·√113 = 10√113

√113 can't be simplified because 113 is a prime number.