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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
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 Equ. #4:

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 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

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 Ineq. #9:

 Solve for:

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Before we can combine radical terms, we sometimes need to simplify the individual radicals to obtain like terms.

 Consider this example: At first glance, we may think we cannot add the radical terms because the radicands are different. However, if we simplify , we can combine like radical terms:

Example 2

Simplify:

Solution

First simplify

 The radicand, 75y, has a perfect square factor, 25. Replace with Combine the like radical terms, Simplify. So,

Example 3

Simplify:

Solution

First simplify

 The radicand, 54x, has a perfect cube factor, 27. Replace Multiply Combine the like radical terms Simplify. So,