Equation symbol changes and formatting changes (#22049)

* Equation symbol changes and formatting changes

-Initially, SQRT(value) does not actually create a square root symbol, so I decided to use replace SQRT( ) with √ next to the number, which has successfully created the square root symbol to the left of the number.
-Given that the information of the article was unorganized through jumbled information, I decided to use the paragraph tag, <p>, to make the article have an organized structure.
-I also used the biggest headline tag, <h1>, to outline the topics of square roots 
-Given that '-----' was not an effective method of creating fractions, I decided to use the fraction slash tag, "&frasl;", the superscript element, <sup>, and the subscript element, <sub>, in order to create suitable fractions

* Removing unnecessary coding and editing content

-I just double checked this content, and realized that there were a couple of mistakes such as an extra heading, putting a square root as sqrt(3) instead of &radic;3, and adding unnecessary paragraph tags instead of extra spaces.

guide/english/mathematics/simplifying-square-roots/index.md

@@ -3,42 +3,45 @@ title: Simplifying Square Roots
 ---
 ## Simplifying Square Roots
 
-Simplied Radical form:
+Let's say you have the radical √363, and you need to simplify it into a both, simplest number, and a number that you can use in specific calculations, where we can do this by trying to find perfect squares within the radical.
-Let's say you have the radical SQRT(363), and you need to simplify it into both a nicer looking number and a number that you can use in specific calculations, to do this by trying to find perfect squares within the radical.
 
-So, it's a fact that SQRT(x*y) = SQRT(x) + SQRT(y)
+So, it's a fact that: 
-and this fact allows us to seperate the SQRT(243) into pieces
 
-but first, we need to find a factor of 363, tha would allow us to pull a perfect square from it.
+√(x×y) = √x × √y
-Perfect squares include 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144... because each of them has a sqare root that is a whole number
 
-Now, factors of 363 are:
+and this fact allows us to understand that we can seperate the √xy into two separate radicals, √x and √y.
-1, 3, 11, 33, 121 and 363
 
-If you look, you can see that 121 is among that list, 121*3 is 363, and we can change the radical to show that:
+But first, we need to find a factor of 363, that would allow us to pull a perfect square from it.
-SQRT(363) = SQRT(121*3)
+Perfect square numbers include: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 etc. ,as each of them can become a whole number if these numbers were square rooted.
-          = SQRT(121)*SQRT(3)
-And we can take the square root of 121, and make it a whole number:
-          = 11*Sqrt(3)
-And that's your radical.
 
+Now, factors of 363 are: 1, 3, 11, 33, 121 and 363. 
 
+If you look, you can see that 121 is among that list, 121×3 is 363, and we can change the radical to show that:
 
-Simplifying Square roots in the denominator:
+√363 = √(121×3) = √121 × √3 
+
+And we can take the square root of 121, where we can turn it into a whole number: 
+
+= 11 × √3 
+
+Hence, 11√3 is the square root number of 363. 
+
+## Simplifying Square roots in the Denominator:
 Lets' say you have the expression: 
-   2
+
--------
+<sup>2</sup>&frasl;<sub>&radic;5</sub>
-SQRT(5)
+
 And you wanted to simplify this by removing the radical from the denominator, well you can do this by multiplying this fraction by: 
-SQRT(5)
+
--------
+<sup>&radic;5</sup>&frasl;<sub>&radic;5</sub> 
-SQRT(5)
+
 Which is equal to one, and you get:
-   2      SQRT(5)   2 x SQRT(5)
+
-------- x ------- = -----------  because a square root multiplied by itself is the number in the square, the denominator is now a
+<sup>2</sup>&frasl;<sub>&radic;5</sub> &times; <sup>&radic;5</sup>&frasl;<sub>&radic;5</sub> 
-SQRT(5)   SQRT(5)        5       whole number, not a radical. The radical still exists in the top, but this is fine in most cases.   
+
+= <sup>2&radic;5</sup>&frasl;<sub>5</sub>  
+
+because a square root multiplied by itself is the number in the square, the denominator is now a whole number, not a radical anymore. The radical still exists in the top, but this is fine in most cases, as the value itself is still exact.
 
 #### More Information:
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