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Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

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Division Property of Radicals

The Division Property of Radicals allows us to write a single radical as the quotient of two radicals.

Here are two examples:

Square Root

Cube Root

It can also be used to write the quotient of two radicals as a single radical, provided they have the same index.

Here are two examples:

Square Root

Cube Root

Property â€” Division Property of Radicals

English The nth root of a quotient is the quotient of the nth roots.

Algebra where and are real numbers, b ≠ 0, and n is a positive integer.

Example

Simplify:

Solution

To simplify, use the Division Property of Radicals to rewrite each radical.

a.
	Write each radical as a quotient of radicals.
	Simplify
b.
	Write each radical as a quotient of radicals.
	Simplify