Algebra Tutorials! Saturday 20th of October

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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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To divide two radical expressions, simply write the quotient as a ratio and then simplify. In general, we have

provided that all expressions represent real numbers. Note that the quotient rule is applied only to radicals that have the same index.

Example 1

Dividing radicals with the same index

Divide and simplify. Assume the variables represent positive numbers.

Solution

 provided that b ≠ 0. Quotient rule for radicals Reduce.
 Rationalize the denominator. Note that
 Quotient rule for radicals Reduce.

Note that in Example 1(a) we applied the quotient rule to get In Example 1(b) we did not use the quotient rule because 2 is not evenly divisible by 3. Instead, we rationalized the denominator to get the result in simplified form.