Question

When finding the real fourth roots for 256, which of the following would it be?

-4 and 4 or 4

I know that a fourth root of 256 is 4, but does the rule of negative and positive roots work for this situation as well..

Answer 1

How would you find a square root for a start?

Answer 2

i think you misunderstood the question, I know the square root of 256 is 4, I just want to know how I would make sure that that is the ONLY real fourth root. maybe a method to check?

Answer 3

The square root of 256 is not 4, what is it?

Answer 4

We are coming to the point, but step by step

Answer 5

ok so would it be 16? i just thought i had to further simplify it.. is that correct?

Answer 6

and in addition to that, i dont need the square root, i need the fourth root, so wouldn't that be correct?

Answer 7

Is it only 16?
Square of what else is 256?

Answer 8

ok so the square root of 256 is 16, and the square root of 16 is 4, correct?

Answer 9

Not only 16 and not only 4 ...

Answer 10

Remember this:\[\sqrt{x^2} = \pm x \]

Answer 11

So what do you get for the first square root and then for the second one?

Answer 12

i'm sorry, i had to step away. but back to the question, so it would be the square root of 256 is -16 and 16, and the following would be -4 and 4?

Answer 13

Yes, the real roots

Answer 14

You are welcome!