Cube root of 27

The cube root of 27 is 3. ∛27 — Radical notation for the cube root of 27. This can just be written as (27)^⅓ in simpler terms.
 

To calculate The Cube Root Of 27 we Have Two Methods Mainly

i) Prime Factorisation Method.

ii) Subtraction method.
 

Finding a cube root of 27 through the Prime Factorization method involves determining the factor of 27.

Step 1 — Find the prime factors of 27. 
 

 

 

So the prime factor of 27 is 3×3×3

Step 2 — Group the factors of 27 together in a group of 3(i.e., power of 3).

Step 3– Here, we get the factor 3 in the power of 3, i.e., 33 or 3×3×3 

 

The cube root of 27 can be written as ∛27 = ∛(3×3×3) = 3 

 

 

Therefore, the cube root of 27 is 3.

 

This method involves subtracting successive odd numbers repeatedly. The list of odd numbers that should be subtracted successively are →

1,7,19,37,61,91,127,169,217,331,397 … This iteration will continue till we get a zero. 

 

Step 1 — Subtract the 1st odd number : 27–1 = 26 

Step 2 — Subtract the next odd number: 26–7 = 19

Step 3 — Subtract the next odd number: 19–19 = 0

Here, the subtraction took place in three steps to reach zero.

Hence, the cube root of 27 is 3.

 

27-1 = 26

26-7 = 19

19-19 = 0

• Integers:These are numbers that can be positive, negative, or zero, but can never be fractions. All the above Engineering mathematics dido contents can be done with Integers and those includes the four basic arithmetic operations. The examples of integers are, 1, 2, 5,8, -9, -12 et cetera.

 

• Whole numbers:Zero and all of the natural numbers collectively known as whole numbers are also a part of the number system that extends in positive direction from zero and goes towards infinity.

 

• Square root:A square root of a number is defined as a value which when multiplied by itself will give the original figure as the resultant.