How do find the quotient of #(-4sqrt3 )/( 3sqrt2)#?
- Rewrite the square roots to exponents
- A little bit of algebra
.. and you will get the answer
Sometimes square roots can be painful to work with, so we have some rules that we can use to rewrite them. One of them is:
And this is the one we will use for this problem.
We also need to know how to deal with eventual negative exponents. Let's have an example:
In this problem, we will use this rule the other way around as well. So let's start!
To make it easier for us, we can split up the expression into parts; one for the base of 2, and one of the base of 3:
Let's tweek on the expression so we can see the exponents
Now, let's move the factors to the same place, using the formula