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
Sep 01, 18 04:07 PM
These heart of algebra questions will help you prepare to take the math portion of the SAT
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Sep 01, 18 04:07 PM
These heart of algebra questions will help you prepare to take the math portion of the SAT
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.