We need to find a number whose cube is 216. Since 6 * 6 * 6 equals exactly 216, the cube root of 216 is 6.

The cube root operation finds a number that multiplies by itself three times to get the original number. Since 4 * 4 * 4 = 64, the cube root is 4.

Finding the square root of 121 means identifying what positive number squared gives 121. The answer is 11, because 11 * 11 = 121.

Since 144 is a perfect square, its square root is an integer. 12 multiplied by 12 gives 144, making 12 the correct answer.

The principal square root of 64 is the positive number that yields 64 when squared. Since 8^2 is 64, sqrt(64) equals 8.

Evaluating the square root of a perfect square like 49 requires finding the number that multiplies by itself to get 49, which is exactly 7.

The square root function finds a number that, when squared, equals the value inside. Because 6 * 6 = 36, the square root of 36 is 6.

Raising to the power of 1/3 means finding the cube root. The cube root of 125 is 5, since 5 cubed (5 * 5 * 5) is equal to 125.

The exponent 1/2 is equivalent to the principal square root. The square root of 100 is 10, because 10 * 10 = 100.

Raising to the 1/4 power means taking the fourth root. The number that multiplies by itself 4 times to equal 81 is 3 (3 * 3 * 3 * 3 = 81).