Cube Root Table

A cube root table is a table that consists of a list of numbers and their cube roots. Before creating a cube root table, it is very important to understand what a perfect cube root plot and the cubic of a number is. A real number cubed can be defined as the number obtained by multiplying the number by 2 or by raising it to the power of 3. At the same time, the cube root of any number is the number raised to the power of 3, which returns the number for which you want the cube root.

The definition of the cube root of a number is that it is the value that produces the original number.  itself if he multiplied three times. Represented by the “∛” symbol. For example, ∛8 has the value 2. You can easily find the value of the cube root using the prime factorization method.

Table for Cube root

Students and facilitators interested in mathematics will find their own way to memorize the list of cube roots from 1 to 100. It may seem a little daunting at first, but the task of memorizing the list of cube roots from 1 to 100 becomes easier with constant practice and regular repetition.

Tips to memorize cube root table

As we already know, the cube root gives us a value that can be divided into cubes to get the original value. Suppose the cube root of ‘a’ gives the value ‘b’ as follows:

∛a = b This expression is only possible if: a = b³

Perfect cube

• To simplify the algebraic cube root, the cube root must satisfy the following conditions:
• There should be no fractional values ​​under the radical sign.
• There should not be a perfect power factor below the cube root symbol
• Under the cube root symbol, the exponent value must not be greater than the index value. If a fraction is under a radical, there must be no fraction in the denominator of the fraction. Finding the cube root of any number looks for the factors that make up the three groups. For example, 8 to the power 3 is 2. The factors of number 8 are 2 x 2 x 2.
• Unlike the square root, the cube root should not handle negative values ​​under the root symbol. Perfect dice can also have negative values. Note that perfect squares are never negative.
• For example, the cube root of -125 is -5. 125 = 5 x 5 x 5, so 125 is a perfect cube. It can help to separate the expression which comes under the root symbol.

Solved examples

Ques1. What is the cube root of 64?

Solution1: by using the prime factorization method.

64 = 2×2×2×2×2×2

64 = 4×4×4

64 = 4³

Taking the cube on both sides

∛64 = ∛(4³)

∛64 = 4

Ques2. What is the cube root of 216?

Solution: It can be found by prime factorization. 216 = 2x2x2x3x3x3 216 = 2³x3³

216 = (2×3)³ = 6³

∛216 = 6

Ques3. What is the value of ∛1728?

Solution: Use the prime factorization method. 1728 = 2x2x2x2x2x2x3x3x3

1728 = 2³x2³x3³

1728 = (2×2×3)³

1728 = 12³

∛1728 = 12