Question

find the cube root of 389017 by estimation step by step​

Answer 1

Answer:

389017

Here the unit digit is 7.

∴The unit digit of its cube root is 3   .[∵3³ =27]

After skipping the last three digits from the right (as we are finding cube root we have to skip 3 digits), the number left is 389.

Now, 7³ =343

and 343<384

8³  =512

and 512>389

∴The tens digit of the cube root is 7.  [because the cube of 8 is bigger than 389 ; we always chose the number whose cube is smaller than the given number]

∵∛389017 = 73