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Simplifying Radicals

. . .

Adding and Subtracting Radicals



Simplifying Radicals - Math - Radicals - adding and subtracting

Simplifying Radicals & Roots - Addition & Subtraction . . . 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.


Examples of Adding & Subtracting "Radicals"


Video demonstrating this method - click here



Adding and subtracting radicals is equivalent to combining terms in any algebraic expression.

For example, some terms in the following algebraic expression can be combined, . . . and some cannot be combined:



Math - Simplify Algebraic Expression using addition and subtraction



Likewise, expressions containing radicals can be simplified by combining like terms:



Math - Simplify Radical Expression using addition and subtraction

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