SOLUTION: I don't know how to type this so forgive me if its wrong there is a small 3 and then a square root sign and inside that is -125 need help

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Question 431664: I don't know how to type this so forgive me if its wrong
there is a small 3 and then a square root sign and inside that is -125
need help

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I don't know how to type this so forgive me if its wrong
there is a small 3 and then a square root sign and inside that is -125
need help
That's not called "square root".  It's called "CUBE root":
 _____ 
∛-125

You have to think of a number that when used three times as
a factor, that is, CUBED, the product is -125.

By trial and error:

(-1)³ = (-1)(-1)(-1) = (+1)(-1) = -1.  That's not it. 
(-2)³ = (-2)(-2)(-2) = (+4)(-2) = -8.  That's not it. 
(-3)³ = (-3)(-3)(-3) = (+9)(-3) = -27.  That's not it. 
(-4)³ = (-4)(-4)(-4) = (+16)(-4) = -64.  That's not it. 
(-5)³ = (-5)(-5)(-5) = (+25)(-5) = -125.  That's it!

So the answer is 

 _____ 
∛-125 = -5

Edwin