Lesson 38 Sections 7.5 When two radicals have the same indices and same radicands, they are said to be 'like radicals'. They can be combined the same as 'like terms'.Like Radicals: rrr 4 , ,3 333512 ,53 ,52 mmxm 44452 ,510 ,55 Unlike Radicals: 32 ,4 xx33310 ,5 ,4Add like terms: yxyxyx 98121032 Add like radicals: 33349284122104322 Simplify by combining 'like radicals'.1)3337578772) 2103837253) 323433933Sometimes radicals must be simplified before combining.4) 845095) xx 123436)335458127) 181284323985Multiply the following radicals: )523)(842()58)(24)(32( ----1Remember that the product rule for radicals says radicands can be multiplied as long as the indices are the same.3064Multiply using either the distributive property or FOIL.8) )532(59) )3262(310) )52)(54(11) )235)(272(12)2)63(13)2)23( xThe following binomials are called conjugates. With conjugates only do the F and L of FOIL.14) )342)(342(15)
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