# Operations with Rational Expressions

It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.

 Algebra Rewrite rational expressions Algebra II Polynomials and Rational Expressions Language English Language Mathematics and Statistics Assessment Rational and Exponential Expressions, Equations, and Functions Number and Quantity Use properties of rational and irrational numbers Polynomials and Rational Expressions Operations with Rational Expressions Pre-Algebra Basic Operations

### Transcript

00:26

In order to figure out how much Milk of Milky Way you need to add to the sauce…

00:31

…you have to simplify the measurements.

00:33

You need to mix in seven times the square-root of three ounces of milk…

00:38

… then strain square-root of twelve ounces.

00:48

How much would you have left in the bowl?

00:51

00:57

First, we'll simplify square-root of twelve by finding the prime factors of twelve...

01:02

This will come in handy for your next recipe, Prime Factor Ribs...

01:07

Twelve can be split into six and two.

01:10

Six can be further simplified into two and three.

01:14

By finding the prime factors of twelve we can then rewrite the square-root of twelve

01:18

as square-root of two times the square-root of two times the square-root of three.

01:24

The square-root of two times the square-root of two is just two.

01:27

So now we are left with two times the square-root of three.

01:32

Now we can easily subtract these two.

01:34

Seven square-root of three minus two square-root of three equals five square-root of three.

01:41