Multiplying Radicals of Different Roots - Concept

Concept Concept (1)

To simplify two radicals with different roots, we first rewrite the roots as rational exponents. Before the terms can be multiplied together, we change the exponents so they have a common denominator. By doing this, the bases now have the same roots and their terms can be multiplied together. Next, we write the problem using root symbols and then simplify.

Sample Sample Problems (1)

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Multiplying Radicals of Different Roots - Problem 1

Multiply:

7 ⋅ ∜2 ⋅ ∛3
Problem 1
How to multiply radicals together when they are different roots.