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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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 â€¢ With polynomials, to add like terms, we add their coefficients. 2x + 3x = (2 + 3)x = 5x â€¢ With radical expressions, to add like radical terms, we add the numbers in front of the radicals. 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, 