Special care must be taken when simplifying radicals containing variables. We can start with perhaps the simplest of examples.
Now, let us look at an example where x is a negative number. Let x = -6
When x is negative, the answer is not just x or -6 as we saw before. The answer is positive. To make sure that the answer is always positive, we need to take the absolute value.
Now what about the cube root of x? The cube root will behave a little differently.
$$ \sqrt[3]{x^3} = ??? $$
If x = 2 or x = -2, the answer is not always positive.
As you can see here, the answer is always x
Try to write the expression inside the radical as
We will need to use some properties of exponents to do this.
let us now conclude this lesson with the last example below
Try to write the expression inside the radical as
Mar 13, 19 11:50 AM
Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Recommended
Scientific Notation Quiz
Graphing Slope Quiz
Adding and Subtracting Matrices Quiz
Factoring Trinomials Quiz
Solving Absolute Value Equations Quiz
Order of Operations Quiz
Types of angles quiz
Mar 13, 19 11:50 AM
Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.