Use this calculator to find the cube root of positive or negative numbers. Given a number x, the cube root of x is a number a such that a3 = x. If x positive a will be positive, if x is negative a will be negative. Cube roots is a specialized form of our common radicals calculator. Show
Example Cube Roots:
The cube root of x is the same as x raised to the 1/3 power. Written as \( \sqrt[3]{x} = x^{\frac{1}{3}} \). The common definition of the cube root of a negative number is that
Cube roots (for integer results 1 through 10)
To calculate fractional exponents use our calculator for Fractional Exponents. References[1] Weisstein, Eric W. "Cube Root." From MathWorld -- A Wolfram Web Resource. Cube Root Math is Fun Cube Roots
In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation. The cube root of 27, denoted as ∛27 and is equal to a value that gives the original value when we multiply it three times by itself. This is the most generally defined meaning for the cube root. If a number is a perfect cube, we can easily find the cube root of a number. In this article, you will learn what is the cube root of 27 and how to find the value of the cube root of 27, using the prime factorisation method with a complete explanation. What is the Cube Root of 27?The cube root of a number 27 is a number that, when multiplied by itself three times, results in the original number 27. The cube root of 27 is symbolically represented as ∛27. ∛27 = ∛(Number × Number × Number) ∛27 = ∛(3 × 3 × 3) ∛27 = 3 How to Find the Cube Root of 27?Generally, we apply the prime factorization method to find the prime factors of the given number. Therefore, once we evaluate prime factors of 27, we need to pair them in a group of three, giving the cube of factors. After finding the cube of factors of a number, we can apply the cube root, which gets cancelled with the cubes. Let us understand it in a step-by-step procedure. Step 1: Find the prime factors of 27 27 = 3 × 3 × 3 Step 2: Clearly, 27 is a perfect cube. Therefore, group the factors of 27 in a pair of three and write in the form of cubes. 27 = 3 × 3 × 3 27 = 33 Step 3: Now, we should apply the cube root on both sides of the above expression to take out the term in cubes. ∛27 = ∛(33) So, the cube root is cancelled by the cube of 3. Therefore, ∛27 = 3 Hence, the value of the cube root of 27 is equal to 3. Also, we can say that 27 is a perfect cube number since its cube root value is a whole number. Know about the perfect cube of numbers here. Cube Root of NumbersLet us have a look at the cube root of some perfect cube numbers given in the below table.
Solved ExamplesExample 1: Find the side of a cube whose volume is given by 27 cm3. Solution: Let a be the side of a cube. Given, Volume = 27 cm3 i.e. a3 = 27 a = ∛27 = 3 Therefore, the measure of a side of the cube is 3 cm. Example 2: Simplify: 5 – ∛27 + 3 × 15 Solution: 5 – ∛27 + 3 × 15 = 5 – 3 + 3 × 15 {since the cube root of 27 is 3} = 5 – 3 + 45 = 50 – 3 = 47 Therefore, 5 – ∛27 + 3 × 15 = 47 Stay tuned with BYJU’S – The Learning App, and download the app to learn all Maths-related concepts through interactive and engaging videos.
The value of the cube root of 27 is 3, which means a cube of 3 gives 27.
Yes, 27 is a perfect cube number since the cube root value of 27 is a whole number.
Yes, the cube root of 27 is 3 and is a rational number, as it can be written in the form of p/q, i.e. 3/1.
The value of cube of cube root of 27 is 27.
Cube root of 27 can be found using prime factorisation. Prime factorisation of 27 = 3 × 3 × 3 Taking the cube root on both sides, we get 3, i.e. the cube root of 27 is equal to 3.
 ∛27 The ∛ symbol is called the radical sign. To simplify the cube root of 27 means to get the simplest radical form of ∛27. We start by listing the factors of 27 like so: 1, 3, 9, and 27Next, we identify the perfect cubes* from the list of factors above: 1 and 27 Since 27 is on the list of perfect cubes above, it means that 27 is a perfect cube. 27 is a perfect cube because 3 times 3 times 3 equals 27. That also means that you can simplify the cube root of 27 without the radical as follows:∛27 = 3 Simplify Cube Root Calculator Please enter another cube root for us to simplify: Simplify Cube Root of 28 The answer to "simplify cube root of 27" is not the only problem we have solved. Go here for the next problem on our list.* List of Perfect Cubes Copyright | Privacy Policy | Disclaimer | Contact In math, the cube root of a number like 27 is a number that, when multiplied by itself two times, is equal to 27. We would show this in mathematical form with the cube root symbol, which is similar to the radical symbol (√) used in a square root, but which also has the number 3 above the symbol (this number is called the index): So, the √ is called the radical symbol, the little 3 above it is the index (which means multiply by itself two more times), and the number, 27, is called the radicand. To explain the cube root a little more, the cube root of the number 27 is a number (which we call n) that when multiplied by itself twice is equal to 27: ∛27 is the same as 27⅓ and so if you are solving a problem in a spreadsheet like Excel, Numbers, or Google Sheets, you can use =27^(1/3) to calculate the cube root. For the purposes of this article, we'll use a scientific calculator to work out the cubic root by typing the number 27 and pressing the [∛x] button, to give the following answer: Is 27 a Perfect Cube?When the cube root of a given number is a whole number, this is called a perfect cube. Perfect cubes are important for many mathematical functions and are used in everything from carpentry through to more advanced topics like physics and astronomy. If we look at the number 27, we know that the cube root is 3, and since this is a whole number, we also know that 27 is a perfect cube. If you want to learn more about perfect cube numbers we have a list of perfect cubes which covers the first 500 perfect cube numbers. Is the Cube Root of 27 a Rational or Irrational Number?Another common question you might find when working with the roots of a number like 27 is whether the given number is rational or irrational. Rational numbers can be written as a fraction and irrational numbers can't. The quickest way to check if a number is rational or irrational is to determine if it is a perfect cube. If it is, then it's a rational number, but if it is not a perfect cube then it is an irrational number. We already know that 27 is a rational number then, because we know it is a perfect cube. Rounding the Cube Root of 27Sometimes when you work with the cube root of 27 you might need to round the answer down to a specific number of decimal places:
10th: ∛27 = 3.0 100th: ∛27 = 3.00 1000th: ∛27 = 3.000 Simplifying the Cube Root of 27It is possible to simplify the cube root of 27 if the radicand can be made smaller. When that is possible, it is called the cube root of 27 in its simplest radical form. In this example, the cube root of 27 in its simplest form is: Practice Cube Roots Using ExamplesIf you want to continue learning about cubic roots, take a look at the random calculations in the sidebar to the right of this blog post. We have listed a selection of completely random numbers that you can click through and follow the information on calculating the cubic root of that number to help you understand number roots. Calculate Cube Square Root Problem |
What is the cube root of 27 simplified?
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