**Definition of Properties of Radicals**

- Product Property of Radicals: For two real numbers
*x*and*y*both nonnegative, - Quotient Property of Radicals: For two real numbers
*x*and*y*both nonnegative, = .

**Examples of Property of Radicals**

- Product Property of Radicals: is the same as
- Quotient of Radicals: is the same as

**Solved Example on Property of Radicals**

Find the value of .

Choices:

A. 512

B. 64

C. 256

D. 128

Correct Answer: A

Solution:

Step 1:As 262144 is a large number, let us split into its factors.

Step 2:262144 = 64 × 4096.

Step 3:So,

**Related Terms for Property of Radicals**

- Real Number
- Product
- Quotient
- Nonnegative