# alg. 2

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why is the answer to this question no real root?

(-81)^3/4

• alg. 2 -

Because -81^3 is a negative number. If you take a 1/4 root of any negative number (which is the same thing as taking a square root twice), you get imaginary or complex (real + imaginary) numbers.

• alg. 2 -

the third power of -81 is a negative number
you can not take a square root of a negative number and get a real number.
(1/4) power is square root of square root.

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