V-100
DONE
What is the square root of negative one hundred

10i

Step-by-step explanation:

The square root of negative 100 is not equal to 10. If 10 was the square root of negative 100, then 10 squared would be equal to negative 100. But in fact, 10 squared is 10*10, which is obviously (positive) 100, not negative 100.

To determine the actual value of the square root of negative 100, we can proceed as follows:

Let s be the square root of negative 100.

Then s^2 = -100.

So s^2 = 100×(-1) = (10^2)×(i^2) =10×10×i×i = 10×i×10×i =(10i)^2.

So s = 10i.

So the square root of negative 100 is equal to 10i.

Note that the square of -10i is also equal to negative 100. 10i is the principle square root of negative 100.

n word

step-by-step explanation:

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