Square Root Calculator. Find the square root in one easy step ... | square root calculator
First,letsaskourselveswhichsquarerootscanbesimplified.Toanswerit,youneedtotakethenumberwhichisafterthesquarerootsymbolandfinditsfactors.Ifanyofitsfactorsaresquarenumbers(4,9,16,25,36,49,64andsoon),thenyoucansimplifythesquareroot.Whyarethesenumberssquare?Theycanberespectivelyexpressedas2²,3²,4²,5²,6²,7²andsoon.Accordingtothesquarerootdefinition,youcancallthemperfectsquares.Letstakealookatsomeexamples:Canyousimplify√27?Withthecalculatormentionedabove,youobtainfactorsof27:1,3,9,27.Thereis9here!...
First, lets ask ourselves which square roots can be simplified. To answer it, you need to take the number which is after the square root symbol and find its factors. If any of its factors are square numbers (4, 9, 16, 25, 36, 49, 64 and so on), then you can simplify the square root. Why are these numbers square? They can be respectively expressed as 2², 3², 4², 5², 6², 7² and so on. According to the square root definition, you can call them perfect squares. Lets take a look at some examples:
Can you simplify √27? With the calculator mentioned above, you obtain factors of 27: 1, 3, 9, 27. There is 9 here! This means you can simplify √27.
Can you simplify √15? Factors of 15 are 1, 3, 5, and 15. There are no perfect squares in those numbers, so this square root cant be simplified.
So, how to simplify square roots? To explain that, we will use a handy square root property we have talked about earlier, namely, the alternative square root formula:
√x = x(1/...