Find the cube root of the following numbers through estimation?

2197

Given number as 2197. We need to find out the cube root using estimation method.

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

⇒ 197 as first group and 2 as second group

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

⇒ 197 ends with 7, cube of 7 = 7³ = 343

∴ 3 will go in units place

Step 3: Now, take second group. i.e 2

⇒ we know 1³ < 2 < 3³

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

∴ = 13

Hence, the cube root of 2197 using estimation method is 13