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**Square root of ANY number instantly – shortcut math.**. Following along are instructions in the video below:

gday welcome with tech math Channel what were going to be having a look at in this video is how to work out the square root of any number fairly instantly – I mean this turned out to be perfect square zero okay so Ill give an example of this what is the square root of 87 now this does not have a perfect square okay so how fast can you work this out okay three seconds yeah you should be able to work it out by now now the answer that by the way was nine point three three and Im going to show you how to work this sort of thing yet really really quickly so you got that congratulations if you didnt you lucky lucky person gonna show you right now how to do it so just a couple of things before I start this does require that you will have a bit of a working knowledge with perfect squares what do I mean by that so that you know you know say 6 by 6 is 36 the square root of 36 is 6 yes or and just those basic ones to start off with also this is fairly accurate but not a hundred percent accurate youll see this it gets pretty close but really really close but it doesnt get a hundred percent close okay so thats pretty good though now the way this works is follows okay so the square root of 87 the first thing we do to work these out is we look for the perfect closest perfect square below 87 okay though this well the closest perfect square root I

guess before 87 so were looking the square root of 81 is equal to 9 okay so that firm forms the whole number part of our answer okay thats the first part thats three paths what were going to be doing the second part is were going to look at the difference between these two numbers 87 and 81 okay so the difference between 87 and 81 is 6 so were going to put this as a 6 okay Im going to put this over now we all you know is get this number here our whole number square and what were going to do is we are going to double it 18 and thats our answer okay so this is equal to 9 and 618 so nine and a third which is equal to well put this in red 9.33 now how accurate is this Ill tell you the actual answer the square root of 87 I can tell you is in fact nine point nine point three to seven okay so look we round up wed actually get nine point three three but its pretty close right Im pretty sure youll agree this is really really you know quite close so youre just going to go through those steps okay you look for the perfect square the other square root below it thats your whole number answer look at the difference and then were going to double that answer or the to get this party okay well go through another couple of these all right all right so did you like that Ill rub that out well go through a bunch of examples Ill tell you what

Ill go through a couple of examples and then Ill give you something to do so what about the square root of 39 give you a couple of seconds to work that out yeah okay you can even pause it if you want but you know see here you go okay so the youll probably know that the square root of 36 is 6 okay difference between these 39 and 36 is 3 and double of 6 is 12 so answer is 6 and 3 twelfths which is 6 and 1/4 which is 6 point 2 5 okay ah the actual answer by the way is 6 point 2 4 so were not too far off okay again really really close howd you go with that good if you need me to slow down you could always ask computer but probably the best thing you might want to do is maybe pause it or even replay things if you have to I think that can help a lot okay what about the square root of what about the square root okay an easy one square root of 12 okay now the square root of 12 you should be able to work that out because you have the square root of 9 is equal to 3 difference between nine and, 12 is three and a double of this throw here is six so this is three and three six which is three and a half which is 3.5 now what is the actual square root of 12 the actual square root of 12 is three point four six okay so were not really that far off are we okay Ill

give you a few examples R and C here you go you can pause these up you know check out this is really really simple once you get a bit of a hang of it so the couple of ones Ill get you doing is the square root of about twenty-seven the square root of got a bigger one for you guys 138 the square root of which one maybe what about 18 okay alright pause the video see here you go the case I had you go or we go through a few of these answers okay the square root of 27 so the square root of 27 the next one below this is I lost that theyll have to find that back when I said pull that back very good square root of this closest one is a square root of 25 okay so the square root of 25 so our answer is going to be a 5 the difference between these is 2 and double of 5 is 10 so this you probably get the answer of 5.2 all right the actual answer of the square root of 20 are of the actual answer in square root of 27 by the way is 5.19 okay 196 as you go that good or Ill do this in a different color well thats square root of 138 like I did go a bit high this time but 11 11s 121 so the square root of 121 okay were going to be getting 11 as our answer there the difference between these two is 17 the double of 11 is 22 okay this fractions a little bit harder you

can sort of look at and go this is almost 15 out of 20 this is almost 11.75 okay you want to get it exactly and you could really work it out you know but eleven point seven seven is the exact of you with this but, 11 point seven five is a good approximation so and funnily enough, 11 point seven five is the exact square root so I put in if you were to work out this it would be eleven point seven seven but the exact square root is, 11 point seven five so not bad okay last one like he lost what about square root of 18 okay then one below this is the square root of mental blank for a minute square root of 16 which is 4 that happens doesnt it there the difference between those guys is two and a double of four is eight so this is four point two five okay four point two five which is very close to the actual square root which is the square root of 18 is 4.24 dont do that what right the difference between those guys yeah I did do that right they come living in a funny little land okay or some second guess myself so thats pretty easy right so hopefully you like this trick and hopefully I didnt make too many mistakes so I do those occasionally like we all do of course why make mistakes get on there Flay me tell me off all right anyway I hope you enjoyed that trick its really great to our make a video for you guys see you next time see ya

tags:

Math, square, square root, tecmath, trick, work out, how to work out square roots, math shortcut

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