Properties of Radicals
Related Words
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 .
Choices:
A. 512B. 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, .
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