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Find cube root of 17576 by estimation method

Asked by gpjain11 14th September 2015, 6:05 PM
Answered by Expert
Answer:

Hibegin mathsize 14px style F o r m space g r o u p s space o f space 3 space s t a r t i n g space f r o m space t h e space r i g h t m o s t space d i g i t space o f space 17576. i. e. comma space bottom enclose 17 space space bottom enclose 576 H e r e comma space 576 space h a s space 3 space d i g i t s space a n d space 17 space h a s space o n l y space 2 space d i g i t s.  C o n s i d e r space 576 comma D i g i t space a t space u n i t apostrophe s space p l a c e space i s space 6. S o comma space w e space t a k e space t h e space o n e apostrophe s space p l a c e space o f space t h e space r e q u i r e d space c u b e space r o o t space a s space 6.  N o w comma space c o n s i d e r space 17 comma C u b e space o f space 2 space i s space 8 space a n d space c u b e space o f space 3 space i s space 27. 17 space l i e s space b e t w e e n space 8 space a n d space 27. T h e space s m a l l e r space n u m b e r space a m o n g space 2 space a n d space 3 space i s space 2. T h e space o n e apostrophe s space p l a c e space o f space 2 space i s space 2. T h u s comma space t a k e space 2 space a s space t e n apostrophe s space p l a c e space o f space t h e space c u b e space r o o t space o f space 17576.  T h e n comma space cube root of 17576 equals 26 end style

Answered by Expert 14th September 2015, 6:12 PM
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