Question

Can somebody explain why -64 squared is not a real number?

Answer 1

squared or square root?

Answer 2

-64^2 is 4096

Answer 3

like, inside the squared box thing...which I don't know how to type..

Answer 4

i^2 = -1
No rational number squared is (-64)

Answer 5

\[\sqrt{-64}\]

Answer 6

So it started out as -64 to the 1/2 power...

Answer 7

I changed it to -64 inside the square root box thing..

Answer 8

and my solutions manual says the answer is not a real number.

Answer 9

if you take the square root of a negative number, it becomes imaginary

Answer 10

something squared is something times itself. Nothing times itself will give u a negative number; u need a negative times a positive 4 that. So there's no such thing as the square root of -64, because nothing times itelf will give u a negative number

Answer 11

You can take out the 8 and get:
\[8\sqrt{-1}\]
\[\sqrt{-1} = i\]
So you get:
\[8i\]

Answer 12

\[\sqrt{-1}=i\]

Answer 13

thanks