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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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The product rule for radicals, allows multiplication of radicals with the same index, such as Caution

The product rule does not allow multiplication of radicals that have different indices. We cannot use the product rule to multiply Example 1

Multiplying radicals with the same index

Multiply and simplify the following expressions. Assume the variables represent positive numbers. Solution   Product rule for radicals     Product rule for radicals  Simplify.   Simplify.   Product rule for radicals Simplify  Rationalize the denominator.  We find a product such as by using the distributive property as we do when multiplying a monomial and a binomial. A product such as can be found by using FOIL as we do for the product of two binomials.