CPM Homework Help : INT1 Problem 8-50

Remember that the solution to the equation $x^3 = 216$ is called the cube root of $216$ , which is $6$ . The cube root of $216$ is written as $\sqrt [ 3 ] { 216 }$ . The idea is similar to the idea of a square root, except that the solution, $6$ , must be cubed (multiplied by itself three times) to become $216$ . Use this information to evaluate each of the following expressions.

$\sqrt [ 3 ] { 27 }$
Hint (a):
What number $n$ , makes this equation true:
$n \times n \times n = 27$ ?

$\sqrt [ 4 ] { 81 }$
Hint (b):
Refer to part (a), but notice you are dealing with $4$ factors.

$\sqrt [ 3 ] { - 64 }$
Hint (c):
Refer to part (a) and notice that you are dealing with a negative value.

$\sqrt [ 3 ] { 1 }$
Hint (d):
Refer to part (a).