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Find the square root of -625 and select from the given options. Use1=i.
A) 5
B) -5
C) 25i
D) -25i

Answer
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Hint: To start to solve this question always remember that 1=i and then proceed to use the negative of 625 so as to calculate the square root of the given number. We have the square root of a negative number is not defined until 1=i is given.

Complete step-by-step answer:
We have to calculate the square root of -625. To do so we use the fact that 1=i.
Because the given number in the question has a negative sign therefore, it cannot be solved without using 1=i.
Now, we proceed to use the square root of negative of 625 so as to calculate the square root of the given number, which gives,
625=(25)(25)625=(1)(25)(25)
Using the fact given in the question as 1=i we get,
625=(1)(25)(25)625=i(25)(25)625=i25625=25i
Therefore, we get the value of the square root of -625 as 25i.
Analyzing the options, we get that the correct option from the given ones is 25i that is option (c).

Note: The possibility of error in this question can be taking minus one out of the root and also substituting 1=i at the same time which will get the answer as -25i, which is wrong because if we are taking root of -1 as I then it will not come out as minus one.
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