N-th Root in Scilab

Are you trying to determine how to calculate the n-th root in Scilab? Well, here's the thing: Scilab doesn't offer a direct built-in function for this. But don't fret. The solution is more straightforward than you might think. Remember, the n-th root of any given number can be expressed as raising that number to the power of 1/n.

$$ \sqrt[n]{x} = x^{\frac{1}{n}} $$

To achieve this in Scilab, simply utilize the power (^) function.

This approach isn't limited to just the square root; it's applicable for the cube root, fourth root, and beyond.

Let's delve into a practical example.

Suppose you're aiming to determine the cube root of 27.

Input the following: 27^(1/3)

27^(1/3)

This operation computes the cube root of 27. In essence, you're asking, "Which number, when cubed, results in 27?"

$$ 27^{\frac{1}{3} } = \sqrt[3]{27} = 3 $$

The solution is 3, given that 3×3×3 equals 27.

3.

But let's broaden our horizons with another example.

To find the fourth root of 16, input 16^(1/4)

16^(1/4)

This command yields the fourth root of 16.

In other words, "Which number, raised to the fourth power, produces 16?"

$$ 16^{\frac{1}{4} } = \sqrt[4]{16} = 2 $$

The answer is 2, as 2×2×2×2 equals 16.

2.

Armed with this technique, you're now equipped to compute any n-th root in Scilab. Here's hoping this guide streamlines your computational endeavors.