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 | 4th Jun, 2014, 01:23: PM

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  | 4th Jun, 2014, 03:23: PM