Cube Root of 4096

The cube root of 4096 is the value which, when multiplied by itself three times (cubed), gives the original number 4096. The cube root of 4096 is 16.  The cube root of 4096 is expressed as ∛4096 in radical form, where the “ ∛ ”  sign” is called the “radical” sign. In exponential form, it is written as (4096)^⅓. If “m” is the cube root of 4096, then, m³=4096. Let us find the value of “m”.
 

The cube root of 4096 can be found through various methods like:

 

 

• Prime Factorization method

 

• Subtraction method
   

The steps involved to find ∛4096 are:

Find the prime factors of 4096

After factoring 4096, make groups of three same factors out of the prime factors to get the cube root.

4096 = 2×2×2×2×2×2×2×2×2×2×2×2

∛4096 = ∛(2×2×2×2×2×2×2×2×2×2×2×2)= 2×2×2×2=16

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

Here, for 4096, no remaining factors are there. We get 4 groups of prime factor 2, i.e., (2×2×2), (2×2×2), (2×2×2), (2×2×2)

So, 4096 is a Perfect cube. ∛4096=16.
 

• Cube root properties - The features when cube root is applied to any number. Those are: 1) The cube root of all odd numbers is an odd number. The same applies for even numbers also, that is, the cube of any even number is even. 
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2) The cube root of a negative number is also negative.

3) If the cube root of a number is a whole number, then that original number is said to be perfect cube

 

• 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.