SOLUTION: I need to know how to solve a problem. I no the answer but i dont no how to expain. the prolem shows a tiny 3 almost ontop of the square root symbol then the square root -243 which

Question 103991: I need to know how to solve a problem. I no the answer but i dont no how to expain. the prolem shows a tiny 3 almost ontop of the square root symbol then the square root -243 which i have to simlify. the answer is -6 but i dont no how to explain how i got my answer! please help me!!!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression

The goal of simplifying expressions with third roots is to factor the radicand into a product of two numbers.
One of these two numbers must be a value in which you can take the third root and still get a rational number.
So let's list the factors of -243
Factors:
1, 3, 9, 27, 81, 243

Notice how 27 is the largest value in which you can take the third root and still get a rational number, so lets break -243 down into -27*9

Factor -243 into -27*9

Break up the roots using the identity

Take the third root of -27 to get -3
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