Cube Root 1 to 20Cube Roots can be used for the many mathematical solving question. Some of the major application of the cube root has been observed in calculating the volume of geometrical shapes like cylinders, circles, cubes, etc. Cube RootIt is a value when it is multiplied by itself three times; it gives the original value. For example, the cube root of 64 is expressed in the form of ∛64 Is 4. This is when four is multiplied thrice by itself; it gives 64. Therefore, we can also conclude that the cube root produces the normally cubed value. Symbol of Cube RootThe cube root symbol is expressed as ∛x. Cube Root FormulaAssume that the cube root of "q" produces a value of "r" such that ∛q = r. The formula can only be validated when q=r^{3}
Cubes Value From 1 to 20
Methods to Find the Cube Root One of the most preferred and easy methods is Prime factorization adopted to find the cube of the root of the given value. Let us understand with the example: Number = 27 Prime factorisation of 27 = 3 x 3 x 3 Cube root will be = 3 Simplification of the Algebraic Cube RootsThe cubic radical should have the necessary conditions:
Problems Based on the Cube RootQuestion: Determine the Cube root of 64 Solution: Applying the prime factorization method, we can find the cube root of 64. Prime factorisation of 64 64 = 2 x 2 x 2 x 2 x 2 x 2 64 = 2 x 2 = 4 Cube Root of 64 is 4 Question: Find out the cube root of 1331 Solution: Applying the prime factorization method: 1331 = 11 x 11 x 11 1331 = 11^{3} Cube Root of 1331 is 11 Question: What is the cube root of 216 Solution: Using the prime factorization method to get a suitable number of prime factors 216 = 2 x 2 x 2 x 3 x 3 x 3 216 = 2^{3} x 3^{3} 216 = ( 2×3)^{3} 216 = 6^{3} Cube Root of 216 is 6 Question: Find out the value of ∛1728 Solution: Applying the prime factorization method 1728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 1728 = 2 x 2 x3 Value of ∛1728 is 12 Question: Determine the Cube of 3.5 Solution: 3. 5 x 3.5 x 3.5 = 42.875
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