Multiplying Radicals of the Same Root - Concept

Concept Concept (1)

When multiplying radical expressions of the same power, be careful to multiply together only the terms inside the roots and only the terms outside the roots; keep them separate. After multiplying the terms together, we rewrite the root separating perfect squares if possible. The rules of distributing and multiplying binomials (FOIL) apply to radicals as well.

Sample Sample Problems (6)

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Multiplying Radicals of the Same Root - Problem 1

Multiply:

3(√5 + √3
Problem 1
How to multiply a radical by a binomial.
Multiplying Radicals of the Same Root - Problem 2

Multiply:

(2 + √5)(3 − √2)
Problem 2
How to multiply two binomials that both contain a radical.
Multiplying Radicals of the Same Root - Problem 3
Problem 3
Multiplying radical binomials of the same index.
Multiplying Radicals of the Same Root - Problem 4
Problem 4
Multiplying with radicals of the same index.
Multiplying Radicals of the Same Root - Problem 5
Problem 5
Distributing radical monomials by simplifying the radical first.
Multiplying Radicals of the Same Root - Problem 6
Problem 6
Multiplying radical binomials of the same root.