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What is 3 to the square root of -125?
 Oct 10, 2013
 #1
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5i
 Oct 10, 2013
 #2
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It is 3 5(root5)i

BUT at high school level it is fair to say that the square root of a negative number does not exist so there is no answer.
 Oct 10, 2013
 #3
avatar+118654 
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Maybe you mean
what is the cube root of -125 in which case the answer is -5 because -5*-5*-5 = -125

there is a cube root button on your calculator or you can use.
Also a cube root is a power of 1/3
so
(-125)^(1/3) should also give you the correct answer.
 Oct 10, 2013

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