Multiplying Radical Expressions

Radicals multiply



Sometimes the answer can be simplified:



A radical multiplied by itself results in a whole number:





When a mixed radical is multiplied by a number, only the numbers multiply:




When two or more mixed radicals are multiplied, the numbers
are multiplied, and the radicals are multiplied separately
:



You don't have to write out every step:



Binomial radicals can be multiplied just like algebraic binomials:



Another example:

Extra steps are involved because radicals can often be simplified


These multiplications can result in lengthy answers:



    Now let's look at dividing radical expressions >>>


[ Adding & Subtracting | Multiplying | Dividing ]



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