Special care must be taken when simplifying radicals containing variables. We will start with perhaps the simplest of all examples and then gradually move on to more complicated examples . Take a look at the following radical expressions.
Do you understand how we got the answer? Do not worry if you do not! you will know how by the time you finish reading this lesson.
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 of x will behave a little differently.
If x = 2 or x = -2, the answer is not always positive.
As you can see here, the answer is always x
Example #1:
Simplify the following radical expression.
The trick is to write the expression inside the radical as
Then,
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
Then,
Therefore,
May 07, 21 02:29 PM
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