how to find cube root
Answers
To find the cube root of a number, you want to find some number that when multiplied by itself twice gives you the original number. In other words, to find the cube root of 8, you want to find the number that when multiplied by itself twice gives you 8. The cube root of 8, then, is 2, because 2 × 2 × 2 = 8.
Let's assume you want to find the cube root of a number, x. The cube root, y, is such a number that, if raised to third power, will give x as a result. If you formulate this mathematically,
∛x = y ⟺ y^3 = x
where ⟺ is a mathematical symbol that means if and only if.
It is also possible to write the cube root in a different way, which is sometimes much more convenient. It is because a cube root is a special case of exponent. It can be written down as
∛(x) = x^(1/3)
A geometric example may help you understand this. The best example we can give would be that of the cube. Well, the cube root of a cubes volume is its edge length. So, for example, if a cube has a volume of 27 cm³, then the length of its edges are equal to the cube root of 27 cm³, which is 3 cm. Easy?
You should remember that in most cases the cube root will not be a rational number. These numbers can be expressed as a quotient of two natural numbers, i.e. a fraction. Fractions can cause some difficulties, especially when it comes to adding them. If you having trouble with finding common denominator of two fractions, check out our LCM calculator which estimates the least common multiple of two given numbers.
