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Simplifying Radicals
. . .
Multiplying Radicals




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Simplifying Radicals & Roots - Multiplication . . . combining radicals . . . Introduction to Radicals & Roots:

The "Radical Symbol" Math Symbol - Radical is a shorthand notation which stands for the roots of the number (or expression) in the radicand.


For example, the cube root of 8 stands for the number that can be multiplied by itself three times (cubed) to equal 8:

radical - cube root of 8 - Math

Since, 2 * 2 * 2 = 8, the cube root of 8 is 2.

radical symbol, radicand, and root index - Math

The 3 in the expression is called the root index, and the 8 is called the radicand.



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Multiplying "Radicals"









Radical Properties of Multiplication

Radical Properties of Multiplication
(using the radical symbol format)

Math - Radical Expression - multiplication property

The Reverse is Also True

Math - Radical Expression - multiplication property


Examples showing How to Multiply Radicals



Video demonstrating radical multiplication - click here




Math - Simplify Radical Expression using multiplication property - Example 1

Math - Simplify Radical Expression using multiplication property - example 1


Math - Simplify Radical Expression using multiplication property - Example 2

Math - Simplify Radical Expression using multiplication property - example 2


Math - Simplify Radical Expression using multiplication property - Example 3

Math - Simplify Radical Expression using multiplication property - example 3


Math - Simplify Radical Expression using multiplication property - Example 4

Math - Simplify Radical Expression using multiplication property - example 4











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