About Cube Root Formula
The cube root formula aids in the calculation of any number's cube root. A number's cube root is the number that, when multiplied three times, returns the original number. The radical form of a number's cube root is represented by the symbol.
What Is Cube Root Formula?
The cube root of an integer can be computed by first determining the number's prime factorization and then applying the cube root formula. Assume that x is any number that equals y × y × y.
Cube Root Formula
The cube root is calculated using the following formula:
Cube root of x = ?x =?(y × y × y) Here, y is cube root of x.
It means that the number x would a perfect cube if y has an integer value.
Applications of Cube Root Formula
- We can solve cubic equations.
- We can find out the dimensions of a cube if the volume has been given.
- It provides the precise dimension of the apartment.
Cube Root Formula for Negative Numbers
- Perform the prime factorization of the provided number for both positive and negative values.
- Divide the collected factors into three groups, each containing an equal number of each factor.
- To find the cube root, multiply the factors in each group.
- The result is negative since the product of three negative values is negative. It is indicated by the negative sign and the negative number's cube root.
Solved examples of Cube Root Formula
Example: Calculate the cube root of 343.
Sol: To find the Cube root of 343
Using the cube root formula,
Cube root of 343 = ?343=?(7×7×7)
= 7
Example: Check whether 512 is a perfect cube or not.
Sol: To find Whether 512 is the perfect cube or not.
Using the cube root formula,
Cube root of 512 = ?512=?(2×2×2×2×2×2×2×2×2)=?(8×8×8)
= 8, which is an integer. Therefore, 512 is a perfect cube.
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