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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

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

 Ineq. #3:

 Ineq. #4:

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 Ineq. #9:

 Solve for:

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To find the sum of and we can use a calculator to get and (The symbol means â€œis approximately equal to.â€) We can then add the decimal numbers and get

We cannot write an exact decimal form for ; the number 3.146 is an approximation of . To represent the exact value of , we just use the form . This form cannot be simplified any further. However, a sum of like radicals can be simplified. Like radicals are radicals that have the same index and the same radicand.

To simplify the sum , we can use the fact that 3x + 5x = 8x is true for any value of x. Substituting for x gives us . So like radicals can be combined just as like terms are combined.

Example 1