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By Using Math.cbrt() Method (Dynamic Input).By Using Math.cbrt() Method (Static Input).Let’s see different ways to find cube-root of any given number. So the value of “num” can be written as 3*3*3 Where prime factorization refers to writing any number as the products of prime numbers.Īfter getting the prime factorization then applying the cube root formula. Java cube root: We can get the cube root of a number by finding out the prime factorization of the given number first. Java Program to Find Cube Root of a NumberĬube root in java: Before Jumping into the program directly let’s see how to find cube-root of any given number. In this article we are going to see how to find cube-root of any given number using Java programming language.

(∛64) 3 = (64 1/3) 3 = 64.Cube root java: In the previous article, we have seen Java Program to Convert an Angle in Degrees to Radians The cube of the cube root of 64 is the number 64 itself i.e. Hence, the difference between the cube root of 64 and the cube root of 8 is a rational number. The value of cube root of 64 and 8 is 4 and 2 respectively i.e. Find if Cube Root of 64 Minus Cube Root of 8 is a Rational Number?

Take the cube root on both sides of the equation: 3 √-64 = 3 √-4 3= -4.

Club the factors into groups of three each: -64= -2 3 × 2 3 = -4 3.

Write -64 as a product of its prime factors: -64= -(2 × 2 × 2 × 2 × 2 × 2).

We know that the cube root of negative numbers is negative. The value of the cube root of 64 can be expressed in the form of p/q i.e. Why is the Value of the Cube Root of 64 Rational? If the Cube Root of 64 is 4, Find the Value of ∛0.064. Combining the prime factors in groups of 3 gives 4. The number 64 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2. We know that the cube root of 64 is 4 and the cube root of 125 is 5. Therefore, the value of the cube root of 64 is 4.

We can express 64 as 2 × 2 × 2 × 2 × 2 × 2 i.e. FAQs on Cube Root of 64 What is the Value of the Cube Root of 64?