Math trick that you didn't learn in school| square root in seconds

JJ ONLINE MATHS CLASS
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How to find square root of any perfect square in seconds. #maths #mathstricks #vedic #vedicmaths
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Video Summary
AI GeneratedThis video teaches a fast mental math technique for finding the square root of any perfect square without a calculator. The instructor explains how to build a reference table of squares from 1 to 20 and provides a step-by-step logical process to determine the square root of larger numbers by analyzing the last digit and comparing products.
This is going to be the best video you'll watch on YouTube today.
So you're very lucky to come across this wonderful mask trick that I'm about to explain in detail.
for you. Welcome back to my channel, and if this is your first time stopping by,
Please take the front seat. You are most welcome. Okay, so today I'm going to show you
The easiest way to find the square root of any perfect square without using a calculator
in about five seconds or less than that, depending on how fast you're able to do this. So the first
The thing you need to do for me is this: Get the squares of all numbers from 1 to 20. It's very
Easy. From 1 to 10 is easy. From 11 to 20, I will also show you a trick on how to fill that out.
Alright. Okay, so let's get straight to the point. First of all, let us write our squares.
Here. So we have 1 squared is 1, 2 squared is 4, 3 squared is 9,
4 squared is 16, 5 squared is 25. This one is easy to fill. 6 squared is 36, 6 squared is 36.
7 squared, I'm somehow weak anyway. I've been shooting video for some time now.
So 7 squared is 49, 8 squared is 64, 9 squared is 81, and 10 squared is 100.
Okay, now for 11 squared, this is, I don't even know why I had to stretch my heart to that point,
But no problem. Now from 11 squared to 20 squared. So 11 squared, I don't like the way this is turning out,
But no problem. Let's do that one here. So this is for 11 squared, 12 squared, 13糖尿病
14 squared, 15 squared, 16 squared, 17 squared, 18 squared, 19 squared, 20 squared. Okay.
Now, as I said, you don't need to panic about this. I'm going to show you how to get it.
Everyone, 90% of you watching me right now know that 11 squared is 121. So let's start from
1, 2, 1. Now I want you to look at something. There is a pattern that we are going to use.
You see that the last number we have here is 100. The difference between 100 and 1,
2, 1 is 21. So it means that when you add 21 to 100, you get 1, 2, 1, which is the next square.
All you need to do is keep adding 2 to the previous number you added. This is what I mean.
Don't worry, I'll explain. We added 21 to get 11 squared. So I'm going to write 23. That is 21.
plus 2 is 23, 23 plus 2 is 25, 25 plus 2 is 27, plus 2 is 29, plus 2 is 31, plus 2 is 33
plus 2 is 35, plus 2 is 37, plus 2 is 39, plus 2 is 41. Let's stop here because we might not
Even finish all of them. Now this is what you will do. 100 plus 21 gives us 1, 2, 1.
So we are going to add 23 to 21 to get the next number. So 1, 2, 1 plus 23 will give us
1 plus 3 is 4, 2 plus 2 is 4. So we have 144, and you can see that 12 squared is 144.
So we are going to remove that so we don't make mistakes. To get the next one, we add 25.
4 plus 5 is 9, 4 plus 2 is 6. So we have 169. To get the next one we add 27. 9 plus 7 is 16,
1. 6 plus 2 is 8, plus 1 is 9. So we have 196. To get the next number, we add 29. 6 plus 9 is 15.
Write down 5, carry 1. 9 plus 2 equals 11, plus 1 equals 12. Write down 2, carry 1. So we have 225. 225 plus 31.
We have, let me clear the space between these. Now, to get the next, we add 31. So, 5 plus 1 is 6.
2 plus 3 is 5. So we have 256 as 16 squared. So we cancel that out. Now we have 17 squared.
I hope I didn't make a mistake. Okay, wait, we added this 29 to get 225. So we will add 31.
To get 256, we are correct. To obtain this, we add 33.6 plus 3 is 9, 5 plus 3 is 8.
So we have 289. Now the next one we add 35. 9 plus 5 gives us 14. Write down 4, carry 1.
8 plus 3 gives us 11, plus 1 is 12. Carry the 1. So this is 324. Alright, now to get this one
We add 37. So 4 plus 7 gives us 11. Write down 1, carry 1. 2 plus 3 is 5, plus 1 is 6. So we have
361. Now to get the final one, this is 400. Now let's make sure of that. We are supposed to add 39.
Right? 1 plus 9 is 10. Write down 0, carry 1. 6 plus 3 is 9, plus 1 is 10. Write down 0, carry 1 again.
So you can see now it is actually easy. Once you are able to establish these two tables,
It will be very easy for you to solve whatever I am going to present here now.
Alright, now let's start. The first one we need to do is we need to get the square root of
7 to 9. What you need to note is what ends with 9 here. What number, when squared, will give you
9? A number that ends with 9. Now there are two numbers that when you square them,
You are going to get a number that ends with 9. The first is what? 7. Another one is 3.
Now look at it. 3 squared is 9. Ends with 9. 7 squared is 49. Ends with 9 as well. That means
that the answer we are going to get will end with either 7 or 3. But that should not bother
at all, because we are going to clarify that later. I will repeat. The first thing is, you look at
9. What number squared will give you a number that ends with 9? The answer is 7 or 3.
Now that you have the first one, add something to it to make 10. Notice that 7 plus 3 equals 10.
Yes, so that is how you determine the next number. So right away I recall that 7 squared will give
Give me a number that ends with 9. I know that 3 will definitely give me a number that ends with 9 as
Well. Excuse me. Okay, I had to check to make sure my camera is still on. Sometimes while I'm
Talking, it rips off. So let's continue. It's still on. Now you're going to cancel the last
two digits. After obtaining the number that ends with 9, you cancel the last two digits. This is
square root. Now I've posted how to find the cube root of any number. As long as that number is a
cube. I will attach the card here. If I don't attach it here, please go ahead and check it.
Under the playlist for Maastricht. I have a playlist for Maastricht on this channel. Just
Go there. You are going to see so many Maastrichts, including how to find the cube root of any number.
once that number is a perfect cube. So we are going to cancel 2 because this is what?
Now we have 7. What number squared gives us a number that is close to 7 but not more than 7?
The answer is 2 because 2 squared gives us 4, but 3 squared gives us 9, and 9 is already
More than 7. So the answer is 2. That means our answer is either 27 or 23. Now how do we know the
Answer? After 2, you count 3, right? So 2 times 3 equals 6. You are going to compare
7 and 6. You can see that 7 is greater than 6. Because what we have here is greater,
Our answer is going to be the greater number. So it means that the square root of 729 is 27.
Don't worry, we're going to work through other examples, and you'll understand this one.
better. So you can press your calculator. The square root of 729 is 27. Now let's quickly do the
Second. Okay, the second will not be fast because it's still the second, so that you understand very well.
Well, so we look for numbers that when we square them give a number ending in 1. The answer
It's 1, and as I told you, to get the next number, 1 plus 9 is 10. So the next number should be 9.
and if you check, 1 squared is 1, ending with 1; 9 squared is 81, also ending with 1. So having
established this, you cancel the last two digits. Now we need a number that when we square it we
Get a number close to this or equal to this but no more than this. And this time, 3 squared is 9.
Okay, so our answer is either 31 or 39. Now let's find out which one will be the correct choice. Okay.
So after 3 we have 4. 3 times 4 is 12. So we compare 9 and 12, and you can see that 9 is less.
than 12. So we are going to get a smaller number this time. So it means that the smaller number
which is 31, is the square root of 961. You can press your calculator. Okay, the next one I'm
It's going to be faster now. So let's check 15129. Okay, 15129. Okay, let's do this. This is for
A reason. Square root of 4225. It is only when your number ends with 5 that only 5 appears.
Yes, because why? It's only 5 that when you square it, the last digit is 5. You can check.
that it was only 5. So this time around we have only 5. Okay, so if we cancel the last two digits
We need a number that, when squared, gives a result close to 42 but not more than 42.
And that should be 6 because 6 squared is 36. But 7 squared is 49. So 7 cannot work here.
So it's 6. That means our answer is 65. You can see that this one is easier because we have
Only one number ends with 5 when you square it, and that is 5 itself. That's why I chose it.
this. Now let's move on to something more challenging. You're going to do this one for me. Now let's go for
this. We need a number that, when squared, equals 15129. So which number, when you square it, gives
Get 9 as the final digit. Okay, the last digit or the digit that concludes it. Just try to understand what
I'm trying to say, I'm already exhausted. I'm tired. So let's continue. Now this is 7. 7 squared.
is 49. So after 7, 7 plus 3 will give me 10. So definitely the next number should be 3. So 7
49 is 7 squared. 9 is 3 squared. Both of them end in 9. So we cancel the last two digits. We need
a number when you square it, you get a number close to 151 but not more than 151. And that
The number is 12, because 12 squared is 144.
But 13 squared is already 169, which is greater than 151. So it's going to be 12. So it means the
As usual, we need to check. So after 12 comes 13, right? So we have 12 times 13.
3 times 2 is 6. 3 times 1 is 3. 1 times 2 is 2. 1 times 1 is 1. 651. So we have 156.
So we compare. You can see that 151 is less than 156. So we are going to take the smaller number.
So it means that the square root of 15129 is 123. So I'm going to leave this last one.
For you to solve. So let me give some space. The last one says you should find the square root of 14161.
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