How many real square roots does -64 have?
well, 8, nope
-8 nope
8 i yes but not real
-8 i yes but not real
so I am left with none :(
To determine how many real square roots -64 has, we need to remember that the square root of a negative number is not a real number.
First, let's find the square root of 64. The square root of 64 is 8, since 8 * 8 = 64.
Next, we can determine the square root of -64 by considering the imaginary unit, denoted by "i." The square root of -1 is defined as "i," so we can write the square root of -64 as √(64) * √(-1). The square root of 64 is 8, and the square root of -1 is "i," yielding 8i.
However, it's important to note that "i" is an imaginary number, which means it does not exist on the real number line. Hence, -64 does not have any real square roots.