In equation format: n √ a = b b n = a. Estimating a Root. Let's check this with ∛8*3=∛24. Example: what is the cube root of 30? It is easy to work out the cube root of a perfect cube, but it is really hard to work out other cube roots. What is cube root? A cube root of a number a is a number x such that x 3 = a, in other words, a number x whose cube is a. Cube root of a number can be found by a very simple method which is the prime factorization method.Cube root is denoted by ‘∛ ‘ symbol. Method 2 – Quickly find roots from perfect cube numbers. Simplified Cube Root for ∛24 is 2∛3; Step by step simplification process to get cube roots radical form and derivative: First we will find all factors under the cube root: 24 has the cube factor of 8. Well, 3 × 3 × 3 = 27 and 4 × 4 × 4 = 64, so we can guess the answer is between 3 and 4. In mathematics, the general root, or the n th root of a number a is another number b that when multiplied by itself n times, equals a. This method makes it quicker to find the root of a perfect cube number. And so we can rewrite this expression right over here as the cube root of 8 times 8 times 8. In algebraic terms, doubling a unit cube requires the construction of a line segment of length x, where x 3 = 2; in other words, x = 3 √ 2, the cube root of two. For example, 3 is the cube root of 27 because 3 3 = 3•3•3 = 27, -3 is cube root of -27 because (-3) 3 = (-3)•(-3)•(-3) = -27. And this is also 2 times 2 times 2. The value of cube root of one is 2.The nearest previous perfect cube is 1 and the nearest next perfect cube is 8 . Cube root of 2 can be represented as 3√2. If the number is not a perfect cube root number, however, this method won’t give an answer. So this is equal to negative 1, or I could just put a negative sign here, negative 1 times the cube root … Example: ∛8 = ∛(2 × 2 × 2) = 2.Since, 8 is a perfect cube number, it is easy to find the cube root of a number.. Finding the cubic root of non-perfect cube number is a little complex process but can be mastered easily. That's 8. So that's 8. As you can see the radicals are not in their simplest form. The real number cube root is the Principal cube root, but each real number cube root (zero excluded) also has a pair of complex conjugate roots, for example the other cube roots of 8 are -1 + √3i and -1 - √3i. Some common roots include the square root, where n = 2, and the cubed root, where n = 3. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Definition of cube root. So we could write 512 as being equal to 8 times 8 times 8. Perfect Cube Roots Table 1-100. This is because a cube of side length 1 has a volume of 1 3 = 1, and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2. For example, the cube root of 8 is 2, while the cube root of -8 is -2, since 2 x 2 x 2 = 8 and -2 x -2 x -2 = -8.