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CBSE Class 8 Answered

Find the cube roots of 64 and 216 by cube pattern: 13 = 1 23-13 = 7 33-23 = 19 43-33 = 37 53-43 = 61 63-53 = 91 ......
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

For 64, 

Subtract 1,7,19,37.. in a sequence

(1) 64-1=63

(2) 63-7=56

(3) 56-19=37

(4) 37-37=0 -- 4 steps

Therefore the cube root of 64 is '4'.

For 216, 

Subtract 1,7,19,37.. in a sequence

(1) 216-1=215

(2) 215-7=208

(3) 208-19=189

(4) 189-37=152

(5) 152-61=91

(6) 91-91=0 -- 6 steps

Therefore the cube root of 216 is '6'.

Answered by | 04 Jun, 2014, 03:23: PM
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