# Cube root in just 2 second

## Trick to the find the cube root up to 6 digit number

#####
Find cube root of **'46656'**.

### STEP 1 :

First we have to know about these cube roots to solve the above value.

Let's say it CUBELIST -

1^{3} = 1

2^{3} = 8

3^{3} = 27

4^{3} = 64

5^{3} = 125

6^{3} = 216

7^{3} = 343

8^{3} = 512

9^{3} = 729

10^{3} = 1000

### STEP 2 :

Now Split **'46656'** from the hundreds like this

##### VALUE ONE = 46 and VALUE TWO = 656

### STEP 3 :

Let's take VALUE TWO and Compare it with the above CUBELIST which we have to use to get the last value of the cube.

As you can see VALUE TWO'S **656** last digit matches the last digit of **6 ^{3} = 216** and its cube root value is

**6**.

So, the last digit of cube value is

**6**

### STEP 4 :

Let's take VALUE ONE and Compare it with the above CUBELIST and find out in which of the 2 CUBELIST it lies in between.

Those selected CUBELIST are :

##### 3^{3} = 27 and 4^{3} = 64

So, the first digit of the cube value will be **3**.