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, = .

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

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