Root operations are mathematical operations that involve finding the root of a number. We've talked about square roots and higher index roots, which are two common types of root operations.
Here are some basic rules for working with roots:
Multiplying Roots: To multiply two roots, you multiply the numbers inside the roots and then simplify. For example, √9 x √4 = √(9 x 4) = √36 = 6.
Dividing Roots: To divide two roots, you divide the numbers inside the roots and then simplify. For example, √81 / √9 = √(81/9) = √9 = 3.
Raising a Root to a Power: To raise a root to a power, you raise the number inside the root to the same power. For example, (√9)^2 = 9.
Simplifying Roots: To simplify a root, you can factor the number inside the root and then take the root of each factor. For example, √72 = √(2 x 36) = √2 x √36 = 6 x 2 = 12.