Question

the number m is a perfect cube and m=8n. find the probable values of cube root n when 100←m←1000.​

Answer 1

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.

✪============♡============✿

$\huge \pink{✿} \red {C} \green {u} \blue {t} \orange {e} \pink {/} \red {Q} \blue {u} \pink {e} \red {e} \green {n} \pink {♡}$