Square Root Symbol

[Heberto Calderon]

Eachpositive real number has two square roots, one positive and the other negative. The square root symbol refers to the principal square root, which is the positive one. The two square roots of a negative number are both imaginary numbers, and the square root symbol refers to the principal square root, the one with a positive imaginary part. For the definition of the principal square root of other complex numbers, see Square root Principal square root of a complex number.

However, these characters differ in appearance from most mathematical typesetting by omitting the overline connected to the radical symbol, which surrounds the argument of the square root function. The OpenType math table allows adding this overline following the radical symbol.

The Symbol font displays the character without any vinculum whatsoever; the overline may be a separate character at 0x60.[13] The JIS,[14] Wansung[15] and CNS 11643[11][16] code charts include a short overline attached to the radical symbol, whereas the GB 2312[17] and GB 18030 charts do not.[18]

Another method to find the square root is by using long division method. This method is used when we cannot apply prime factorisation for large numbers or the number under the root symbol is imperfect square.

That's it, folks. A kid at Oberlin High School in Oberlin, Louisiana, observed that if you kind of squinted, the square root symbol looks like a weapon. Then the social media rumor mill went to work and eventually this whole silly thing morphed into allegations that he was going to shoot up the school. Allen Parish Sheriff Doug Hebert has acknowledged in an interview with KATC that the student "did not commit a crime. He did not commit anything remotely criminal, nothing to remotely suggest any intent to do actual harm."

That should have been where the entire embarrassing incident ended, with a sheepish observation that the current climate of fear caused an overreaction that was understandable but still nevertheless an overreaction. And of course, the teen deserves an apology for being subjected to such an overwhelming response that assumes the worst of him with absolutely no evidence at all.

But that's not what is happening. Instead, KATC reports that the kid faces an expulsion hearing. Furthermore, not a single authority figure in their reporting, nor KATC's reporter, wants to even acknowledge that this was an overreaction. In fact, the school district is putting into place policies that are going to guarantee future overreactions.

"The first thing we're going to do is remove that student from the premises with proper authority. Then, we're going to have a home visit done by detectives of the sheriff's department, and if no charges are filed, we're going to conduct a threat assessment on the student," Doucet said.

At the end of the piece, Doucet admits what's really happening here. It's administrative ass-covering. If something bad happened because they didn't treat this incident seriously, he says, then parents would get angry with him.

It's reminiscent of how the Transportation Security Administration will freak out at any jokes about bombs or guns, yet has a terrible record for assessing risk at airports. Any suggestion that schools should adopt airport-like security absurd and self-defeating.

Security theater isn't just bad because it treats everybody like criminals or threats. It's also bad because when you spread resources thin attempting to investigate inconsequential things, sometimes you miss the big things. The young man accused of the school shooting in Florida did more than just make a quip. He had a lengthy, documented history of troubling behavior.

Chasing down every single kid muttering the word "gun" is a terrible response designed for school administrators to declare that they're "doing something," even if what they're doing is screwing over their own students, censoring speech, and not actually making schools safer in any way.

Fibonacci, like Euclid, did not invent all the mathematics he reports, but took much of it from the Arabian world, mainly from al-Khwarizmi and Omar Khayyam. The Arabian word for "root" had been used by al-Khwarizmi already; his word is rendered radix in translations from the Arabic to Latin by Robert of Chester, John of Seville, and Gerard of Cremona. It appears also in Alexandre de Villedieu's Carmen de Algorismo (1240) and in Sacrobosco's Algorismus (1250). By the way Fibonacci calculates approximations but considers roots as exact numbers, even if they cannot be expressed as integers or fractions.

Following the tradition of medieval writers, Nicolas Chuquet used the uppercase Latin letter R with a small stroke, looking very similar to Px when written close together. Both, R and R$^2$ indicate the square root, R$^3$ indicates the cubic root, R$^4$ the forth root and so on. Regiomontanus (1464), Luca Pacioli (1494), and Estienne de la Roche (1520) adopted this sign.

Edit As Paul Taylor said Florian Cajori favours another root of the root symbol, namely the generation of an upstroke from a row of points. In fact there may have been many sources playing together. Moritz Cantor points out that Alkasadi (or Alkasawi) an Arab living in Spain (died 1477 or 1486) wrote a book which is known under different titles like Lifting the veils of the science of the Gubar (Gubar means "dust" or "calculating with digits") where he not only abbreviated the Arab word for root dschidr by writing its first letter, but wrote it not right of the radicand (in Arabic, meaning in front of the radicand) but above. The jim can be seen in the column Initial in the table Arabic letters usage in Literary Arabic. This could also be a source for our root symbol.

In a simplifying radicals fill in the blank question, I can type in the square root symbol just fine for the prompt, but I can't have an answer under the radical. First, is there a way to do this that I've missed? The best I've done is set up a table and have a top border on the answer that is under the radical (thanks @James for help on specific borders). This sort of looks OK, but I'm wondering if there is a better solution. Below is a screenshot of both the question and the code. TIA!

Canvas does not have good support for math content. To mimic the way we write mathematics is very difficult to do. It also breaks a lot of accessibility rules, so Canvas isn't going to enable them. Tables aren't supposed to be used for layouts. CSS doesn't show up to screen readers so they won't "see" the vinculum regardless of what you do.

It doesn't matter to Canvas that you may not have any students that use a screen reader, Canvas is committed to accessibility and creating similar experiences whether a person is using a keyboard or mouse, desktop or phone, monitor or screen reader.

A lot of math teachers want Canvas to be a full-fledge program like MyMathLab, WebAssign, WebWork, or MyOpenMath (list not intended to be complete) that recognizes math content and allows you to enter mathematical expressions. It's not specialized like those programs and I have seen no movement in the 12 years I've been using it towards providing that capability.

It was something that could have been done back when New Quizzes was originally imagined. It was supposed to be an LTI that allowed you to embed questions into other content. It was to allow for flexibility in question types so that new question types could be added. If someone wanted to write a plugin for math content, they would be able to. It's not 4 names later and I forget how many years, but it's very different than what was originally touted.

You've made some progress towards making it visually appealing, but you're going to run into roadblocks. That suggests that you may have to look for alternative, less written-math, ways to ask the questions.

You could implement restrictions on the width, it's just that table isn't really supposed to be used for that from an accessibility perspective. You could wrap things in a div and specify the width. Using white-space: nowrap will keep the a = on the same line as the input box.

I hate to add the padding, but it seems that New Quizzes runs the text too close together. I don't use New Quizzes much, but another reason for me not to switch. I probably would have added some padding to the bottom of the a = 2 paragraph.

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