The product rule for radicals, allows multiplication of radicals with the same index, such as
The product rule does not allow multiplication of radicals that have different indices. We cannot use the product rule to multiply
Multiplying radicals with the same index
Multiply and simplify the following expressions. Assume the variables represent positive numbers.
We find a product such as by using the distributive property as we do when multiplying a monomial and a binomial. A product such as can be found by using FOIL as we do for the product of two binomials.