Question

find the cube root of 17576 through estimation

Answer 1

Given number is 17576.

1) Split the number from right into the group of three digit numbers. We have 2 parts 17 and 576.

2)the unit digit of 576 is 6. Hence the unit digit of required cube root is 6.

3) Now, We have to estimate the cube root of 17.

It lies between 8 and 27 i.e cube of 2 and 3.   (2^3 = 8 and 3^3 = 27)

Take the units digit of the smallest number i.e 2.

So, The cube root of 17576 is 26.


Hope this helps!

Answer 2

To find it
Split the number into the group of three digit numbers from Right.
Here
We have 2 parts 17 and 576.
Now,
the unit digit of 576 is 6. So the unit digit of required cube root is 6.
Now,
We have to find the cube root of 17.which is in between 8 and 27 . The cube of 2 and 3.
Now
take unit digit of the smaller number i.e 2
Hence.
³√17576 = 26.

Hope it helps...