Question

find the cube root of the following no without using prime factorisation method 12167 and 5832​

Answer 1

Step-by-step explanation:

We know,

20³ = 8000

30³ = 27000

Let the cube root of 12157 be x

By observing the above cubes,

20³< x³ < 30³

Hence the cube root lies between 20 and 30

Now 12167 ends with 3

Acc. to cube root tables, cube of 3 ends with 7

Hence by applying this logic, the cube root of 12167 must be 20+3=23

Hence (12167) ^ ⅓ = 23 ANS

Now 17³ = 4913

19³ = 6859

Since, 5832 lies between the nos, hence its cube root must lie between those roots

Hence the root must be 18. ANS

THANK YOU AND KEEP SMILING:)

Answer 2

for 12167

1.first step, split the number (always split the number with three digits from right side)

12,167

for unit place

2. second step, find the number whose cube

end with last number(7)

3³=27 therefor 3 is on unit place

For tens place

3. third step,

12 is lies between the 2²and 3³

and smaller number is 2

therefore 2 is on tens place

hence answer is 23

similarly with 5832