Find the square root of 4214809 by long division method by...

Transcript

00:01 In this problem we will be looking at finding the square root of this long big number using the long division methods and we will show the image of the method so first of all before we start looking into this method we'll need to understand what are the essential steps that are required for the long division the primary step is to arrange the numbers in a two -digit form after completing the step so for instance let's talk about this primary step here so the number that we have in the first place is look at it so this is the big number so what i'm gonna do is i'm gonna do the long division so that's what how you represent the long division and you would call it this number is 421 4809 so it's pretty big number so we've got so arranging this number the primary step is starting the number in two -digit form would mean separating it by commas from starting from the left i've got 9 -0 so i would do a comma here and then i've got 4 8 i would do a comma here and then i got 1 2 i have to a comma here and then i have 4 so uh so the last number being 4 i have no other choice because i've arranged i've tried to arrange as much as possible in terms of two digits two digits two digits and i've got 1 -4 left out there's no other way i can arrange it now uh the step one is to take the first digit of the dividend from the left so that's the four and check if this is greater than or equal to the divisive so what we'll do is we'll start we'll start with saying you know we would start with two as the as the first digit and then once you select two you'll have to do a two here as well so that will be two into two so you would multiply these two together so two into two would mean four and then what you do is that's the first number from the from the left as well it says the first number from the left and then you would do four in four and four so you would subtract it so that's the procedure that is step number three subtract the result and write the difference below so if you subtract it four minus four would be zero and then you would write the difference is zero now once we've established this two here the next step is to bring down the next digit of the dividend if present now the next digit is actually there are two digits here because that's the reason why we've separated using commas so the next digit will be 21 okay and then it says repeat the same process but then the repetition of the process there is always going to be some amount of you know detailing that we can provide the way you would repeat this process is actually multiply this the top number by 2 and that would be that's the standard rule so you'll always multiply this by 2 this number here and then you would you would do a 4 here so that would become 4 okay and now that you've multiplied the the top number by 2 becomes 4 what we need to do is then look at these numbers here 0 21 0 doesn't have any meaning so let's do so but we have only 21 here and because you putting any other number here so let's say let's say if you put one okay so this is an example so if you put one here what you should do is as before you multiply 2 into 2 so if you had put 1 you would do 2 into 1 that would become 2 and a 4 into 2 will become 8 so that would become 2 and 8 so that would become 2 and 8 so that number 82 because comes greater than 21.

03:59 So this is not allowed because obviously the answer would become negative.

04:02 So what you can't do is you can't put one.

04:05 So you'll have to put a number that is less than 0.

04:08 So we'll have to put a number that is less than 1 rather.

04:12 So there is no other way you can put 1.

04:13 So 1 being the minimum most number in this case...