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Last updated on December 31st, 2024
The cube root of a number is a value that when multiplied thrice by itself results back to the original number. Imagine you have a cube (box) with a known volume. The cube root would then be useful to determine the length of one side of the box.
The cube root of 217 is a number , when you multiply it by itself three times, it gives 217. Let’s check a few steps and methods to calculate the cube root of 700.
Cube root of 217: ∛217 = 6.006
Exponential form of the cube root of 217 is 2171/3
Radical form of the cube root of 217 is ∛217
Use the following methods to find the cube root of a number:
We use the below formula to find the cube root using Halley’s Method:
∛a≅ x((x3+2a) / (2x3+a))
In the formula,
a = given number, 217
x = an approximate number close to the cube root of the number, 217. Let’s say x is 6. Therefore, 63 = 216.
Now, let’s apply the formula and find the cube root.
Here, a = 217 and x = 6
Now apply the formula:
∛a≅ x((x3+2a) / (2x3+a))
∛217 ≅ 6((63+2 × 217) / (2 × 63+217))
∛217 ≅ 6(( 216+434 ) / (2 x 216 + 217))
∛217 ≅ 6((650) / (649))
∛217 ≅ 6(1.001)
∛217 ≅ 6.006