__ __ Ö32 + Ö72
__ __
Ö32 + Ö72
Break 32 and 72 into prime factors
32 = 8·4 = 4·2·2·2 = 2·2·2·2·2
72 = 8·9 = 4·2·3·3 = 2·2·2·3·3
_________ _________
Ö2·2·2·2·2 + Ö2·2·2·3·3
Separate into group of 2 like factors since the index is 2.
_____________ _____________
Ö(2·2)·(2·2)·2 + Ö(2·2)·2·(3·3)
Each pair of like factors comes out of the radical as a single
factor, and the unpaired number stays under the radical
_ _
2·2Ö2 + 2·3Ö2
_ _
4Ö2 + 6Ö2
_
Factor out Ö2
_
Ö2(4 + 6)
_
Ö2(10)
_
10Ö2
Edwin
AnlytcPhil@aol.com
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