 Hello friends. So in this session, we are going to learn squaring any two-digit number Okay, so let us say if I have to multiply or rather find out the square of 63 so the conventional method is you multiply 63 and Like this. So this is nothing but 3 times 3 is 9 3 times 16 is 18 and then you should you do 6 times 3 is 18 carry 1 and 6 times 6 is 36 37 and then you add So it becomes 39 69 right, this is one way of doing it. I'll Tell you another technique of doing it in your mind itself, right? So what you do is you first find out step one is nearest Find out the nearest multiple of ten Multiple of ten. So what is the nearest multiple of ten to sixty is? So we'll also take example case here. So here in this case the nearest multiple is 60. Okay, then find out gap between between the number the number and The nearest multiple of ten and the nearest multiple of Of ten, so what is the nearest gap between 63 and 60? So you do this 63 minus 60 is equal to 3 Okay, now third is third step is Third step is multiply the nearest multiple of So, let us call this as factor Factor Okay. Now what you need to do is? multiply multiply the nearest multiple of Multiple of ten by by number Plus factor Okay, so in this case, what will it be? It will be 60 into 63 plus 3 isn't it? So it is nothing but 60 into 66 now Multiplying this is mentally is much easier. Why because you can do it in your mind itself So it is if you see it is nothing but 6 into 6 is 36 carry 3 and then 39 6 0 is it it? This is easier to calculate. Now what third fourth is Add add Factor squared factor squared to the number Obtained obtained obtained Obtained in step 3 Okay, add factor squared to the number obtained in step 3. So what will it be? So here in this case, it will be 39 6 0 plus factor square is 9. So answer is 3969 Okay, let us take another example to understand this so Let us say we have to multiply 22 square Okay, so the nearest multiple of 10 step 1 is 20 then Gap between the number and the nearest multiple so 22 minus 20 is 2 then third multiply the nearest multiple of 10. So that is 20 into 24, which is nothing but 4 4 8 0 Isn't it? And then the fourth one is 2 square plus 4 8 0 is 4 84 Correct. Let us take another example 71 square. So first step is first multiple of 10 nearest multiple is 70. The gap is 71 minus 70 is 1 Correct. And then third is multiply 70 into 72, which is nothing but 7 5 0 4 0 Is it that 5 0 4 0 and then fourth is add 1 square to 5 0 4 0, which is 5 0 4 1 Okay, let us take some more examples to make it more clear. So let us say if the number is 89 I have to find out 89 square. So first step nearest multiple is 90 then the gap 89 minus 90 is equal to negative 1 Okay, third, what do you need to do 90 into 89 minus 1 that is 88 Which is nothing but 7 9 2 0 Okay, and then fourth is add minus 1 square to it add Minus 1 square to it, which is nothing but minus 1 square is minus 1 only so it is 7 9 2 1 Right another example, let us say we have to find out 78 square first step You know it is 80 second step is minus 2 third is 80 into 76 which is 6 0 8 0 and Then plus minus 2 square to this 6 0 8 0 is 6 0 8 4 So though I am using pen and paper here but if you practice a little bit more you'll be able to solve it mentally itself and While solving lots of numerical problems or during the exams wherever you want to do this quick Squaring thing you don't really require to write it on a piece of paper and then get the result you can do it mentally and proceed further With different calculations. I hope this technique Was useful for you. Thank you