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HomePuzzlesarithmetic - What's a Good Pasta Quantity™?

# arithmetic – What’s a Good Pasta Quantity™?

This puzzle is impressed by JLee’s What’s a Phrase/Phrase™ collection and the next “Quantity” variants. (Really, I would initially tried to create a extra unique puzzle utilizing the identical thought, but it surely became one other one in all these. Sigh. Possibly the kinds of numbers given lend this considerably extra novelty.)

If a constructive actual quantity obeys a particular rule, I name it a Good Pasta Quantity™. Listed here are some examples:

A very good, strong pasta! Yeah! You’re a horrible cook dinner
$$6sqrt{6}$$ $$3sqrt{5}$$
$$6$$ $$8$$
$$3sqrt{6}$$ $$6sqrt{3}$$
$$frac{3sqrt{2}+sqrt{6}}{2}$$ $$frac{3sqrt{6}+sqrt{2}}{2}$$
$$3sqrt{50-22sqrt{5}}$$ $$3sqrt{50+22sqrt{5}}$$
$$9sqrt{3}-3sqrt{15}$$ $$18sqrt{3}-6sqrt{15}$$
$$frac{42sqrt{6}}{23}$$ $$frac{56sqrt{6}}{19}$$
$$frac{15sqrt{6}-18sqrt{3}+135sqrt{2}-162}{14}$$ $$frac{15sqrt{30}-18sqrt{15}+135sqrt{10}+30sqrt{6}-162sqrt{5}-36sqrt{3}+270sqrt{2}-384}{14}$$

There are a lot of extra Good Pasta Numbers™ not proven above, however solely a finite quantity.

Which numbers make an excellent pasta™?

Be aware:

There’s nothing hidden within the flavortext apart from a really refined connection (probably not a clue); this actually is only a regular “What’s a _______” puzzle. I like making my puzzles enjoyable to learn. Additionally, the property is restricted to the numbers themselves, and never any particular illustration of the aforementioned numbers.

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