Q. 2 C4.4( 20 Votes )

Find the cube root of the following numbers through estimation?

3375

Answer :

Given number as 3375. We need to find out the cube root using estimation method.

Step 1: start making groups of three digits starting from the units place.


375 as first group and 3 as second group


Step 2: first group will give us the units digit of the cube root.


375 ends with 5, cube of 5 = 53 = 125


5 will go in units place


Step 3: Now, take second group. i.e 3


we know 13 < 3 < 23


As the smallest number is 1, it becomes the tens place of the required cube root.


= 15


Hence, the cube root of 3375 using estimation method is 15


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