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You can write any radical as a power. For example, taking the square root is the same as raising to the power 1/2; taking the cubic root is the same as raising to the power 1/3. Here is an example how you can use this knowledge, to take the cubic root of 125 (which of course is 5) in Excel:= 125^(1/3)

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8y ago
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8y ago

The simplest example would be square and square root. You could say that they are rotated 90° from each other. Or that they reflect across the line y=x. Take the quadratic (square) function y = x^2. This is a parabola opening up. Now what if you exchange the variables, so that you have x = y^2. Now the parabola opens to the right. This could also be stated as y = sqrt(x). But typically, the square root function only returns the positive value. This would necessarily be true, if you want it to remain as a 'function' (only one y value for each x value). So you would only have a half of a parabola.

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They are inverses of each other. Example: f'(x) = sqrt(x), x >= 0 is the inverse function of f(x) = x^2, for x >=0.

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Q: How is a power function related to a radical function?
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Related questions

What is an radical?

It is a power function.


What is an inverse radical?

It is a power function.


What is radical function?

A function that has a variable under a radical sign.


What is the function of radical?

The function of a radical in math is to indicate the operation of taking the root of a number. It is represented by placing a radical symbol (√) before the number. The number inside the radical is known as the radicand.


What is a real world example of a radical function?

The diagonal of a unit square, for example, is radical(2).


How do solve a composite function that is a radical inside of a radical?

By radical, I am assuming that you mean square root, not cube root, quartic root, or otherwise. If this is the case, then we can use fractional exponents to help. Change sqrt(x) to x^(1/2), or x to the one half power. Then we take a radical of a radical which becomes sqrt(x^(1/2)) = (x^(1/2))^(1/2) = x^(1/4). When we raise a power to a power, we multiply exponents. So the answer to the square root of the square root of x is x to the one fourth power, or the 4th root of x.


Radical Muslim group that rose to power in Afghanistan?

The Taliban is a radical muslim group that rose to power in afganistan in 1990.


What is radical 112xy to the power of 3?

radical[(112xy)3] = 1185.30*x1.5*y1.5


How do you simplify negative 125 under a radical without a calculator?

It depends what power is associated with the radical.


How is radical symbol related to fractional exponents?

Math


Can you add or subtract under the radical?

No, you cannot add or subtract under the radical. The radical represents the square root function, and it only operates on the number or expression that is inside the radical. To add or subtract, you need to simplify the expressions inside the radical first.


What is the meaning of the operation with radical expressions?

A radical number is a number with a decimal. so a radical expression would be like 5 raised to the 2.5 power.