the problem reads:
evaluate sqrt (-4) if possible.
my answer:
sqrt (-4)<0
therefore this is not a real number
looks correct
you cannot take the square root of a negative number in the real number set.
Have you learned the imaginary number i = sqrt(-1) ??
if so you can do:
sqrt(-4) = sqrt(4) x sqrt(-1)
= 2i
if you have not studied i, then you would say: "there is no real solution to sqrt(-4)"
1/2(y-10)+y distributive propertys
Your answer is partially correct. When taking the square root of a negative number, it is not possible to find a solution within the set of real numbers. However, you can indeed find a solution using imaginary numbers.
To evaluate sqrt(-4) using imaginary numbers, you can use the concept of the imaginary unit, denoted by i, which is defined as the square root of -1.
Here's the correct computation using imaginary numbers:
sqrt(-4) = sqrt(4) x sqrt(-1)
= 2 x i
= 2i
So, the answer to sqrt(-4) is 2i.
However, if you have not yet learned about imaginary numbers and have only studied real numbers, then it is correct to say that there is no real solution to sqrt(-4).