Algebra Tutorials! Saturday 3rd of December

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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
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 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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To simplify radicals involving variables, we must recognize exponential expressions that are perfect squares, perfect cubes, and so on. The expressions x2, w4, y8, z14, and x50 are perfect squares because they are squares of variables with integral powers. Any even power of a variable is a perfect square. If we assume the variables represent positive numbers, we can write

If you use exponential notation, then it is clear why the square root takes half of the exponent:

Note that when we find the square root, the result has one-half of the original exponent.

Example 1