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Last updated on November 30th, 2024
Cube root of 27 is nothing but the number which when multiplied by it for 3 times gives the result as 27. They are utilized in loudspeaker technology as well as in pharmacology for determining the dosage of a medicine on the basis of patient body weight. Cube root of 27 is nothing but the number which when multiplied by it for 3 times gives the result as 27. They are utilized in loudspeaker technology as well as in pharmacology for determining the dosage of a medicine on the basis of patient body weight.
The cube root of 27 is 3. β27 — Radical notation for the cube root of 27. This can just be written as (27)β
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 β27 = β(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