How to find cube root by division method?

By Ritesh|Updated : November 13th, 2022

The steps followed to find the cube root by division method are mentioned below. Find the cube root of 1331 using the division method.

Step 1: Start by grouping three digits together starting at the unit place. Consequently, 1,331 = 1 + 331 = 2 groups.

Step 2: Then identify the biggest integer whose cube is less than or equal to the initial set of digits from the left ( ie 1) Use this integer as both the quotient and the divisor.

Step 3: Subtract the number's cube from the initial group of digits or single digits (1-1=0).

Step 4: Lower the second group (331) so that it is to the right of the remaining groups; this is the new dividend (ie 331).

Step 5: Triple the quotient (1x3=3) from the next probable divisor and write a box to its right.

Step 6: Choose the largest digit you can to fill the box in such a way that the new dividend is equal to or less than the remaining digits we loft from the new divisor's cube (for example, 13=1), the product of this number and the previous divisor is multiplied by the new quotient (1x3=3 then 3x11=33), and the remaining digits we loft from the new divisor's cube are added.

Step 7: By subtracting, we have a result of 0. The cube root, which equals 11, is the final quotient.

Summary:

How to find cube root by division method?

The steps followed to find the cube root by division method are discussed above. Division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.

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