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D’OH!
I was talking about the equal sign. It should be a relatively equal sign.
she was quoting the show lol
this is literally something Twilight said in a song (I Wasn’t Prepared for This)
The square root sign is correctly handwritten. √ is used in text because it’s hard to draw an unbroken line above other symbols without specialized software.
As for unnecessary decimal places, that depends on the application. The probability problems I’m playing around with now would require more significant digits than that to avoid rounding errors.
Man, if there were a badge for “nerdiest thread,” we’d all have it :)
Are incorrect math signs and unnecessary decimal places two of them?
That fact that pi is irrational is actually pretty hard and wasn’t known until the 1700s, despite being suspected since Greek times. (Wikipedia has several.)
In fact, however, pi is transcendental, which is a kind of super-irrationality. A square root being irrational means it doesn’t solve any equation ax^2=b for any integers a and b. Being transcendental means it doesn’t solve any polynomial equation of any degree whatsoever with integer coefficients.
(Decides to find √π)
(Windows 8 calculator gives 1.7724538509055160272981674833411)
(It’s same to assume it’s irrational)
Nope. The square root of any integer that isn’t a perfect square has an infinite number of nonrepeating decimals. There can’t be an exact answer. Of course, you can calculate to any number of decimals you want, so the rounding error can be made arbitrarily small. [/math nerd]
My mistake. Google simplified it down and then lied about squaring it.
Wolfram Alpha confirms it’s irrational
it is approximately 546 (excel gives me 546.000000000194). Square numbers have integer roots. Non square numbers have irrational roots.
https://numberwarrior.wordpress.com/2011/05/25/insanely-simple-proof-of-irrationality-of-sqrtn-when-n-is-not-a-perfect-square/
I suggest checking with a computer if you’re so into electronics when it comes to algebra.
Are you sure about that?
I suggest you double check with a calculator because 23.3666428911 ^ 2 seems to be 546
I say approximate because you can’t express the square root of 546 in decimal exactly: it’s irrational and thus infinite.
Approximate is too easy since you can just use trial and error to get the next digit
There’s a neat little way to do square roots without a calculator though which will always give you the exact answer every time with no rounding errors
don’t care about the time limit; if she can get an approximate answer by hand and show her work, that would be impressive.
Bet she can’t do it without one and get the exact answer in under 10 minutes
@anonymous7890
So what if it’s not a perfect square? As long as its square root is not irrational it will always be discreet given enough time and paper/memory to calculate and display it.
ie. √1.5 == 1.22474487139