the number m is a perfect cube and m=8n. find the probable values of cube root n when 100←m←1000.
Answers
Answered by
10
Step-by-step explanation:
We know that 10^3=100010
- 3 =1000 and Possible cube of 11^3=133111
- 3 =1331
- Since, cube of unit’s digit 1^3=11
- 3 =1
- Therefore, cube root of 1331 is 11.4913
- We know that 7^3=3437
- 3 =343
- Next number comes with 7 as unit place 17^3=491317
- 3 =4913
- Hence, cube root of 4913 is 17.
- 12167
- We know that 3^3=273
- 3 =27
- Here in cube, ones digit is 7
- Now next number with 3 as ones digit
- 13^3=219713
- 3 =2197
- And next number with 3 as ones digit
- 23^3=1216723
- 3 =12167
- Hence cube root of 12167 is 23.
- 32768
- We know that 2^3=\ 82
- 3 = 8
- Here in cube, ones digit is 8
- Now next number with 2 as ones digit
- 12^3=172812
- 3 =1728
- And next number with 2 as ones digit
- 22^3=1064822
- 3 =1064
- And next number with 2 as ones digit
- 32^3=3276832
- 3 =32768
- Hence cube root of 32768 is 32.
Hey
I have this given you example hope next you can do yourself.
✪============♡============✿
Similar questions