### 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 Problems (7)

Need help with "Multiplying and Distributing Radical Expressions" problems? Watch expert teachers solve similar problems to develop your skills.

Multiply:

(3√6x)(2√6x)
###### Problem 1
How to multiply radical expressions with variables in the radicand.

Simplify:

3x(√4x − 5)
###### Problem 2
How to distribute a radical expression.

Simplify:

(4 + √6)(3 − √6)
###### Problem 3
How to FOIL with radical expressions with the same radicand.

Simplify:

(2√10 + 3√5)(√10 − 3√5)
###### Problem 4
How to FOIL with radical expressions with different radicands.
###### Problem 5
Multiplying radicals by simplifying each first in order to keep numbers smaller.
###### Problem 6
Distributing a radical monomial over a binomial with radicals, including simplifying the resulting product.
###### Problem 7
Multiplying radical expressions in fractions with coefficients, including simplifying before or after multiplication.
© 2018 Brightstorm, Inc. All Rights Reserved.