9.3 Multiply and Divide Radical Expressions SWBAT multiply radicals and simplify SWBAT divide radicals and rationalize the denominator Rule for Multiplying Radicals β’ In order to multiply radicals, their indexes must be the same β If their indexes are the same, you multiply the numbers on the outside together and you multiply the radicands together Simplify each radical expression. Assume that all variables represent nonnegative numbers β’ π πβπ πβπ π β’ ππ πππ β’ ππ ππ β’ βππ π β π ππ β π πππ β’ βπππ πππππ β’ βπππππ ππ Simplify each radical expression. Assume that all variables represent nonnegative numbers β’ βπ ππ(π ππ + π ππ) β’ βπ ππππ β ππ ππππ β’ βππ ππ β πππ π β’ π+π π π πβπ π β’ π π β π ππ + ππ ππ β π ππ β’ ππ + ππ ππ β ππ β’ βππ + ππ ππ Rule for Dividing Radicals β’ Rationalize the Denominator β Used to eliminate radicals from the denominator β Multiply the numerator and denominator by the radical expression in the denominator Simplify each radical expression. Assume that all variables represent nonnegative numbers β’ π π β’ ππ π β’ ππ π β’ β’ β’ π ππ π ππ ππ β’ ππ ππ πππ β’ πππ π ππ β’ ππ π π Simplify each radical expression. Assume that all variables represent nonnegative numbers ππ π β’ β’ β’ πππ ππ β’ π ππ π π π+ππ π ππ β’ ππ π ππ β’ ππ πππ ππππ β’ πππ π ππ β’ π π Pop Quiz β’ 7 2βπ₯ 5 β’ ππ ππ 2
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