Answer :
The expression √64 represents the square root of 64. In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 64 is 8 because 8 * 8 = 64.
Now, looking at the provided choices:
a. 64i - This is not correct. It includes the imaginary unit 'i', which is not part of the square root of 64.
b. 8i - Similarly, this includes 'i', making it an expression involving imaginary numbers. It's not equivalent to the square root of 64.
c. -64 - This is incorrect. It's the negative of 64, not the square root of 64.
d. -8 - This is also incorrect. It's the negative of 8, not the square root of 64.
e. 8i - Again, this includes 'i', making it an expression involving imaginary numbers. It's not equivalent to the square root of 64.
None of the provided choices are correct for the expression √64, which is simply 8. Therefore, the correct choice is not listed among the options provided.
In summary, the square root of 64 is a real number, specifically 8, and does not involve any imaginary units like 'i'. It's important to recognize the distinction between real numbers and imaginary numbers when dealing with square roots and complex numbers.
The complete quiestion is:
Which choice is equivalent to the expression below?
√64
a. 64i
b. 8i
c. -64
d. -8
e. 8 i