
Find the square root of -625 and select from the given options. Use .
A) 5
B) -5
C) 25i
D) -25i
Answer
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Hint: To start to solve this question always remember that 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 is given.
Complete step-by-step answer:
We have to calculate the square root of -625. To do so we use the fact that .
Because the given number in the question has a negative sign therefore, it cannot be solved without using .
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,
Using the fact given in the question as we get,
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 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.
Complete step-by-step answer:
We have to calculate the square root of -625. To do so we use the fact that
Because the given number in the question has a negative sign therefore, it cannot be solved without using
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,
Using the fact given in the question as
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
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