Roots - 4

Sabtu, 31 Januari 2026

In the case of a cube (or higher) root, multiplying the fraction by the denominator over itself usually does not work. To eliminate the nth root in the denominator, we need to write the denominator as the nth root of some quantity to the nth power. For example, to simplify  we need a 53 under the cube root sign. There is only one 5 under the cube root. We need a total of three 5s, so we need two more 5s. Multiply 5 by 5² to get 5³:

When the denominator is written as a power (often the power is 1) subtract this power from the root. The factor will have this number as a power.

 

Examples

     The root minus the power 4 – 3 = 1.

      We need another x¹ under the root.

 

    The root minus the power is 5 – 2 = 3.

       We need another x³ under the root.

 

Practice

 

Solutions

 

 

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Labels: Mathematician

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