Operations with Rational Expressions

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

…you have to simplify the measurements.

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

… then strain square-root of twelve ounces.

How much would you have left in the bowl?

Here are your choices...

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

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

Twelve can be split into six and two.

Six can be further simplified into two and three.

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

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

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

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

Now we can easily subtract these two.

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

The answer is D.

The bad news is that the set you bought from the Martian salesman doesn't have a

five-square-root-of-three measuring cup.

You'll have to put it in a half-cup.