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The number 16 has four fourth roots. find them.

I know the answers are:

2

-2

2i

-2i

But I don't know why. please explain.

 Jun 18, 2020
 #1
avatar+165 
-1

Uhh. I think this is pretty simple. 

 

The fourth root of 16 is 2. Those are the ways to write 2 in forms of i.

 

Because 16 is a perfect 4th power.

 

Hope this helped!

 

Yay!

 Jun 18, 2020
 #2
avatar+1093 
+5

I'm sure it's 2 and -2 because 2^4=16 and -2^4=16 also but sometimes people don't count -2 so if this is homework i'm not sure whether you should put in 2,-2 or both

 Jun 18, 2020

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