ShmoopTube

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Operations with Rational Expressions, a la Shmoop.

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Your favorite sci-fi show just came out with a tie-in cookbook,

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which is all the rage these days.

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You want to make a plate of Radioactive Pasta with Saturnalian sauce…

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… but these recipes are complicated.

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

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…you have to simplify the measurements.

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

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… then strain square-root of twelve ounces.

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How much would you have left in the bowl?

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Here are your choices...

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

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

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Twelve can be split into six and two.

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Six can be further simplified into two and three.

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

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

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

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

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Now we can easily subtract these two.

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

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The answer is D.

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

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

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

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