Rationalizing the Denominator with Higher Roots - Concept

Concept Concept (1)

When a denominator has a higher root, multiplying by the radicand will not remove the root. Instead, to rationalize the denominator we multiply by a number that will yield a new term that can come out of the root. For example, with a cube root multiply by a number that will give a cubic number such as 8, 27, or 64.

Sample Sample Problems (6)

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Rationalizing the Denominator with Higher Roots - Problem 1

Rationalize the denominator:

2
9
Problem 1
How to simplify a radical before rationalizing the denominator with a higher root.
Rationalizing the Denominator with Higher Roots - Problem 2

Rationalize the denominator:

7
16x⁴y⁸
Problem 2
How to rationalize a denominator with multiple components and a higher root.
Rationalizing the Denominator with Higher Roots - Problem 3
Problem 3
Rationalizing cube root denominators.
Rationalizing the Denominator with Higher Roots - Problem 4
Problem 4
Rationalizing a denominator with a root of a variable.
Rationalizing the Denominator with Higher Roots - Problem 5
Problem 5
Simplifying a quotient of radicals.
Rationalizing the Denominator with Higher Roots - Problem 6
Problem 6
Rationalizing a denominator - Basics.