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Operations with Rational Expressions 8704 Views
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Description:
It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.
- Mathematics and Statistics Assessment / Rational and Exponential Expressions, Equations, and Functions
- Number and Quantity / Use properties of rational and irrational numbers
- Algebra / Rewrite rational expressions
- Number and Quantity / Use properties of rational and irrational numbers
- Algebra / Rewrite rational expressions
Transcript
- 00:04
Operations with Rational Expressions, a la Shmoop.
- 00:08
Your favorite sci-fi show just came out with a tie-in cookbook,
- 00:12
which is all the rage these days.
- 00:14
You want to make a plate of Radioactive Pasta with Saturnalian sauce…
- 00:19
… but these recipes are complicated.
Full 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
Here are your choices...
- 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
The answer is D.
- 01:43
The bad news is that the set you bought from the Martian salesman doesn't have a
- 01:47
five-square-root-of-three measuring cup.
- 01:50
You'll have to put it in a half-cup.
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