Properties of Radicals
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, = .
Video Examples: Algebra 2 - nth Roots and Operations on Radicals
Example of Properties of Radicals
- Product Property of Radicals: is the same as
- Quotient of Radicals: is the same as
Solved Example on Properties of Radicals
Ques: Find the value of .
Correct Answer: A
Step 1: As 262144 is a large number, let us split into its factors.
Step 2: 262144 = 64 × 4096.
Step 3: So, .