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
May 16, 18 09:09 AM
What is the logarithm of a negative number or zero? Find a crystal clear explanation here!
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May 16, 18 09:09 AM
What is the logarithm of a negative number or zero? Find a crystal clear explanation here!
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