When dividing radical expressions, use the quotient rule.For all real values, a and b, b ≠ 0If n is even, and a ≥ 0, b > 0, then If n is odd, and b ≠ 0, then That's a mathematical symbols way of saying that when the index is even there can be no negative number in the radicand, but when the index is odd, there can be.Radical expressions are written in simplest terms whenThe index is as small as possible.The radicand contains no factor (other than 1) which is the nth or greater power of an integer or polynomial.The radicand contains no fractions.No radicals appear in the denominator.Example 1Simplify each of the following.Using the quotient rule for radicals,Using the quotient rule for radicals,