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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

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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:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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# Adding and Subtracting Square Roots

The procedure for adding and subtracting square roots which may contain algebraic expressions is very similar to the one we usewhen adding and subtracting numerical square roots:

• simplify the square root in each term of the expression
• combine terms whose square roots are identical

Read the following examples:

Example 1:

Simplify

solution:

We have

Thus

as the final answer.

The method should be fairly obvious by now. Use the remaining three examples as practice problems. Try to do them yourself before looking at our solutions.

Example 2:

Simplify

solution:

First, we check to simplify each of the two square roots individually:

Thus

as the final answer.

Example 3:

Simplify

solution:

So

as the final answer.

Example 4:

Simplify

solution:

Each square root must first be simplified:

and

Therefore

This is as simple as we can get the expression.

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