Cube Root of 8000

The cube root of 8000 is the value which, when multiplied by itself three times (cubed), gives the original number 8000. The cube root of 8000 is 20.  The cube root of 8000 is expressed as ∛8000 in radical form, where the “ ∛ ”  sign” is called the “radical” sign. In exponential form, it is written as (8000)^⅓. If “m” is the cube root of 8000, then, m³=8000. Let us find the value of “m”.
 

The cube root of 8000 can be found through various methods like:

 

 

• Prime Factorization method

 

• Subtraction method
   

The steps involved to find ∛8000 are:

Step 1: Find the prime factors of 8000

After factoring 8000, make groups of three same factors out of the prime factors to get the cube root.

8000 = 2×2×2×2×2×2×5×5×5

∛8000 = ∛(2×2×2×2×2×2×5×5×5)= 2×2×5=20

After grouping together three same factors at a time, put the remaining factor under ∛.

Here, for 8000, no remaining factors are there. We get 3 groups of prime factor, i.e., (2×2×2), (2×2×2), (5×5×5)

So, 8000 is a Perfect cube. ∛8000=20.

• Irrational Numbers - Numbers which cannot be expressed as m/n form, where m and n are integers and n not equal to 0, are called Irrational numbers.

 

• Square root -The square root of a number is a number which when multiplied by itself produces the original number, whose square root is to be found out.

 

• Polynomial - It is an algebraic expression made up of variables like “x” and constants, combined using addition, subtraction, multiplication, or division, where the variables are raised to whole number exponents.

 

• Approximation - Finding out a value which is near to the correct answer, but not perfectly correct.

 

• Iterative method - This method is a mathematical process which uses an initial value to generate a further sequence of solutions for a problem, step-by-step.