How to Find Cube Root of 64
To find the cube root of 64 we can use the following methods:
Let’s study these methods in detail below:
Cube Root of 64 by Prime Factorization
Use prime factorization to determine the cube root of 64 by doing the following steps:
Step 1: Find the Prime Factorization of the Number 64 which is given as 64 = 2 × 2 × 2 × 2 × 2 × 2 = 26
Step 2: Make a group of three like numbers. Hence there will be two groups containing three 2 in each group
Step 3: Now ∛64 = ∛(23 × 23). From law of expoents (23 × 23)1/3 = 2 × 2 = 4. We can also say that for each three similar prime numbers take out one out of the cube root. Hence, for six twos, there will be two 2s in the form 2 × 2 = 4
Thus the cube root of 64 is 4.
Cube Root of 64 by Long Division Method
To find the cube root by long division method use the following mentioned steps:
Step 1: Make the group of 3 digits. Here, we have 64 that consists of two digits only. Hence will consider these two digits only.
Step 2: Now choose a number whose cube is 64 or nearby and write it in divisor and quotient and add the same number twice in the divisor
Step 3: In this case, divisor and quotient will be 4 as the cube of 4 is 6 and also add 4 twice in the divsior. Hence, the sum is 12 and now if we have a larger number we could be placed a new digit to the right of 12 to find the cube root.
Cube Root of 64
Cube Root of 64 is 4. Cube Root is a number when multiplied by itself twice (raised to the power of three) gives the original number. The cube root of an integer “x,” which is represented by the symbol ∛x. This is the opposite of cubing a number. For instance, since 23 (2 raised to the power of 3) equals 8 this implies the cube root of 8 is 2.
In this article, we will learn what is cube root of 64 and the different ways to find the cube root of 64.
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