Multiplying and Distributing Radical Expressions - Concept

Concept Concept (1)

Multiplying rational expressions is basically two simplifying problems put together. When multiplying rationals, factor both numerators and denominators and identify equivalents of one to cancel. Dividing rational expressions is the same as multiplying with one additional step: we take the reciprocal of the second fraction and change the division to multiplication.

Sample Sample Problems (7)

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Multiplying and Distributing Radical Expressions - Problem 1

Multiply:

(3√6x)(2√6x)
Problem 1
How to multiply radical expressions with variables in the radicand.
Multiplying and Distributing Radical Expressions - Problem 2

Simplify:

3x(√4x − 5)
Problem 2
How to distribute a radical expression.
Multiplying and Distributing Radical Expressions - Problem 3

Simplify:

(4 + √6)(3 − √6)
Problem 3
How to FOIL with radical expressions with the same radicand.
Multiplying and Distributing Radical Expressions - Problem 4

Simplify:

(2√10 + 3√5)(√10 − 3√5)
Problem 4
How to FOIL with radical expressions with different radicands.
Multiplying and Distributing Radical Expressions - Problem 5
Problem 5
Multiplying radicals by simplifying each first in order to keep numbers smaller.
Multiplying and Distributing Radical Expressions - Problem 6
Problem 6
Distributing a radical monomial over a binomial with radicals, including simplifying the resulting product.
Multiplying and Distributing Radical Expressions - Problem 7
Problem 7
Multiplying radical expressions in fractions with coefficients, including simplifying before or after multiplication.