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September 27, 2025, 06:42:40 pm
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Author Topic: Surds  (Read 1885 times)  Share 

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fagsu

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Surds
« on: June 19, 2010, 10:56:01 pm »
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wtf

Are surds even math?  :o ???
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Hutchoo

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Re: Surds
« Reply #1 on: June 19, 2010, 10:59:27 pm »
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Surds are a pain in the @55.
At the beginning anyway.
Ask Ms.Chen.
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fagsu

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Re: Surds
« Reply #2 on: June 19, 2010, 11:00:32 pm »
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Ms. Chen calls me stupid
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QuantumJG

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Re: Surds
« Reply #3 on: June 22, 2010, 11:34:43 pm »
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This is the first time I have heard of surds since high school. Really cherylim23 explans this perfectly. It's usefull to learn how to manipulate them to extend your knowledge of arithemetic.

We learn arithmetic of natural numbers in early primary school and the rational numbers in later primary school to our early years of high school. But what about arithmetic of irrational numbers (for example ).

So we know:

1+2=3, since 3:=1+1+1 & 2:=1+1

But what about:

+ = ?
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Ilovemathsmeth

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Re: Surds
« Reply #4 on: June 23, 2010, 01:48:31 am »
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I never really disliked surds ... :S
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kamil9876

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Re: Surds
« Reply #5 on: June 23, 2010, 04:40:34 pm »
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I like the point Quantum made, I disliked the vague notion of real numbers we were always taught so I didn't like that about surds until I read this

That aside, surds have an interesting history, the Pythagoreans drowned people for figuring out that the cannot be written as a fraction of two integers (they thought all numbers could). And also the question of whether every solution to a polynomial with integer coefficients is always a combination of surds lead to some amazing math :)



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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

Ilovemathsmeth

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Re: Surds
« Reply #6 on: June 23, 2010, 06:54:52 pm »
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I like the T-shirt :P
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humph

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Re: Surds
« Reply #7 on: June 23, 2010, 11:06:01 pm »
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Hint: Eisenstein's criterion.
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TrueTears

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Re: Surds
« Reply #8 on: June 23, 2010, 11:07:15 pm »
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Quote from: humph on June 23, 2010, 11:06:01 pm
Hint: Eisenstein's criterion.
lol this was like one of the first theorems i learnt.
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kamil9876

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Re: Surds
« Reply #9 on: June 24, 2010, 05:07:21 pm »
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Is it solvable in radicals though? after all this is a topic about surds  ;D
« Last Edit: June 24, 2010, 05:19:17 pm by kamil9876 »
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Hutchoo

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Re: Surds
« Reply #10 on: June 25, 2010, 03:21:21 pm »
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Surds are turds.
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