The number PI is an elusive one by itself. It can carry out to thousands of digits so the square root of PI would be as some others have posted, an abreviation determined accurate enough for the application.
For a full explanation of how far reaching PI is go to wikipedia and enter Pi. It will explain in length how complex Pi is.
2006-07-07 13:22:58
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answer #1
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answered by mindbender - seeker of truth 5
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"Michaelsa0276" is talking through his hat when he says "There is no answer to this question. Pi is not defined, since it has an infinite number of decimal places, so its square root cannot be defined". So by the same reasoning, the square root of two is "undefined" under his daffy definition. PI has a PRECISE, well-defined value that we can quote to ANY number of decimal places as we desire -- just as we can the square root of two! The fact that it would be INFINITE in length has nothing to do with whether it can be defined!. (As a matter of fact, the length of 1/3 expressed as a decimal is also "undefined" by his definition, since there is an infinte length to its decimal expression).
The square root of PI is 1.7720045146669350401991125097... and so on: the decimal never recurs, and it is transcendental (as is PI itself)
The big qauestion here is: PI is useful in all sorts of calculations, but where did you find a need for its square root?
2006-07-12 11:01:02
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answer #2
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answered by Anonymous
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sqrt(pi)= the integral of e^(-x^2) from negative infinity to positive infinity. Also, pi happens to equal the integral of 1/sqrt(1-x^2) from -1 to 1, which is the area of half the unit circle, so you can you use that too to get numerical approximations by hand. You can use Simpson's rule or the trapezoidal rule to compute these integrals by hand to whatever degree of accuracy you desire. However, as previous posters have already pointed out, pi is irrational and therefore cannot be expressed as a finite decimal. SO... we usually approximate pi to an arbitrary decimal point when dealing with it but more commonly just use the Greek letter to represent the number. If you're using it in a trig, algebra, or calc class, it's perfectly cool to just write the square root of pi as sqrt(pi)... of course you would use the symbols since, writing with a pencil, you're not limited by ASCII and HTML. Hope that answers your question; live long and prosper.
2006-07-07 20:55:47
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answer #3
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answered by math.guru 1
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There is no answer to this question. Pi is not defined, since it has an infinite number of decimal places, so its square root cannot be defined. All the numbers presented here are estimates. They are determined by a certain decimal place limit on pi that is arbitrary.
A good approximation is all you'll ever get (1.77245, etc.)
2006-07-07 19:36:20
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answer #4
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answered by michelsa0276 4
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Everyone knows that Pi are round, not square. And who would want a root Pi anyway? ~<{:-()]#
2006-07-07 19:28:51
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answer #5
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answered by SPLATT 7
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you said it. the square root of pi.
2006-07-07 19:37:35
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answer #6
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answered by powhound 7
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1 point somethin
2006-07-07 19:29:30
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answer #7
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answered by Anonymous
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1.772004514666935040199112509758742463145655614
mine is more scientific lol
2006-07-07 21:17:22
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answer #8
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answered by SHut YO Big HeAd Up 2
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1.772456851
2006-07-07 19:29:08
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answer #9
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answered by thedude2005 3
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1.78045
2006-07-07 19:27:35
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answer #10
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answered by jjnsao 5
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