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n n is an even number Why? We want to make sure that the root is always positive when the index is an even number p o s i t i v e . s t a y si t s u r e m a k e t o v a l u ea b s o l u t e t h eu s e W ef o r wa r d s . a n db a c k wa r d s t r u eisi t t h a t so i n d e x e se v e n wi t h p o s i t i v e a a l wa y s is t h a t x s u r e m a k e wa n t t o we525)5(,5 if B U T5255,5 IF:ita t l o o k y t oa n o t h e r wa sHe r e 39。2222soxxxxxx????????????24 42444 84 2)()2(16:yxyxyxex??Note: Absolute value symbols ensure that the root is positive when x is negative. They are not needed for y because y2 is never negative. 23 3233 63 )