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here we want to simplify the cube root of negative 8 now the cubed root basically here the question is what cubed is equal to negative 8 now after a little bit of thought I can see the answer there it is negative 2 negative 2 times negative 2 times negative 2 is negative 8 so the cube root of negative 8 is actually a real number itamp;#39;s equal to negative 2 now letamp;#39;s compare that to the square root of negative 8 if we ask the same question what square it equals negative 8 you can quickly see that thereamp;#39;s nothing so that when I square it itamp;#39;ll be negative there you know so thereamp;#39;s no real number squared thatamp;#39;ll be negative so let me show you how to work this using the imaginary unit so Iamp;#39;m going to rewrite negative ADA as negative 1 times 4 times 2 the square root of negative 1 is defined as I the imaginary unit square root of 4 is 2 and then whatamp;#39;s left inside the square root is that 2 so times the square root of 2 now multipl