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