Find the cube root of the following numbers through estimation?

5832

Given number as 5832. We need to find out the cube root using estimation method.

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

⇒ 832 as first group and 5 as second group

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

⇒ 832 ends with 2, cube of 2 = 2³ = 8

∴ 8 will go in units place

Step 3: Now, take second group. i.e 5

⇒ we know 1³ < 5 < 2³

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

∴ = 18

Hence, the cube root of 5832 using estimation method is 18