Loser66
  • Loser66
What does it mean by saying that a number to be constructible or non-constructible. Please, help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Loser66
  • Loser66
@freckles
Loser66
  • Loser66
I understand what it is but not know how to interpret it in formal
Loser66
  • Loser66
\(\sqrt 2\) is constructible \(\sqrt[3]2\) is non constructible ...... but I can't give out the reason why or how to know.

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Loser66
  • Loser66
On my book, they just describe how to construct a number, not a formal definition.
freckles
  • freckles
first time seeing these terms... i have to look up the word(s)
AlexandervonHumboldt2
  • AlexandervonHumboldt2
probably this? https://en.wikipedia.org/wiki/Constructible_number
AlexandervonHumboldt2
  • AlexandervonHumboldt2
looks like if the point is constructable it can be constructed with unruled straightedge and compass or ` constructible if and only if it can be written using the four basic arithmetic operations and the extraction of square roots but of no higher-order roots. `
Loser66
  • Loser66
Can I say: From a given length, by using compass and straightedge, we can construct a line segment with the length of a required number. Then, the number is called constructible.

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