Find the cube root of the following numbers through estimation?

3375

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