Multiplying and Dividing Radical Expressions

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Presentation transcript:

Multiplying and Dividing Radical Expressions

Multiplying If there are two radicals being multiplied and they have the same root then the radicands are multiplied Always check to see if the radicals can be simplified before multiplying!

Dividing If there are two radicals with the same root being divided then they can be combined under a single radical and the radicands can be divided If the two radicands do not divide evenly then we must rationalize our denominator…

Rationalizing the Denominator Rewrite it so there are no radicals in any denominator and no denominators in any radicals Multiply the denominator by something to make it a perfect root

Examples! 

Binominal radical expressions

Adding and Subtracting Expressions 1st: Simplify all expressions Then combine like terms If radicals have difference indexes then they are NOT like terms If the radicands are different then they are NOT like terms

Multiplying Expressions Use FOIL for binominals and distribution for all others Both the coefficients and the radicands are multiplied After multiplication all radicals should be simplified

Dividing Expressions (Rationalize Denominator) When dividing… Remember that no radicals can exist in denominators so they should be rationalized. If we have a binominal, to rationalize we change the sign of the radical and multiply by it over itself.

Examples! 