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# Square and Square Root of three digit get using formula 1

Shortcut Tricks are very important things in competitive exam. Time takes a huge part in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Here in this page we give few examples on Square and Square Root of three digit shortcut tricks. These shortcut tricks cover all sorts of tricks on Square and Square Root of three digit. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on square and square root of three digit.

Before starting anything just do a math practice set. Write down twenty math problems related to this topic on a page. Do first ten maths using basic formula of this math topic. You also need to keep track of the time. After finish write down total time taken by you to solve those ten maths. Now go through our page for square and square root of three digit shortcut trick. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. You will surely see the improvement in your timing this time. But this is not all you want. If you need to improve your timing more then you need to practice more.

### Few important things about Three digit Square Root

Math section in a competitive exam is the most important part of the exam. That doesn’t mean that other sections are not so important. But if you need a good score in exam then you have to score good in maths. You can get good score only by practicing more and more. You should do your math problems within time with correctness, and only shortcut tricks can give you that success. Again it does not mean that you can’t do maths without using shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential.

But, so many other people may not do the same. For those we prepared this square and square root of three digit shortcut tricks. We always try to put all shortcut methods of the given topic. But if you see any tricks are missing from the list then please inform us. Your little help will help others.

Square and Square Root both are very important in any competitive exams. Square and Square Root Shortcut Tricks Without remembering this you can’t survive in exam hall. As all competitive exams are very tightly bound with time,we discuss the using formula and how we get the result of square and square root of three digit using formula 1, lets how the formula that can easily obtain the answer of Square and Square Root of three digit.

### Square and Square Root using formula

Formula: (a + b)2 = a2 + 2ab + b2
i.e, (a / b)2 = a2 / 2ab / b2 [We replace ‘+’ sign with ‘/’]

We will apply this formula to obtain the square of a Three digit number.

### Example #1 – Square and Square Root of Three digit number

(122)2 = ?

1. 14884
2. 15782
3. 16339
4. 17344

Show Answer Show How to Solve Open Rough Workspace

How to Solve

1. Firstly break the number into two parts and Consider a = 12 and b = 2.
2. Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 122 / 2 x 12 x 2 / 22
= 144 / 48 / 4
3. Go from Right to Left
Note down 4 and Carry 0.
4. Add carry 0 with 48,
i.e, (0 + 48) = 48, Note down 8 at the left of 4 and Carry 4.
5. Add carry 4 with 144,
i.e, (4 + 144) = 148, Note down 148 at the left of 8.
So, We get our answer (122)2 = 14884.
Rough Workspace

### Example #2 – Square and Square Root of Three digit number

(114)2 = ?

1. 10447
2. 11558
3. 12996
4. 13684

Show Answer Show How to Solve Open Rough Workspace

How to Solve

1. Firstly break the number into two parts and Consider a = 11 and b = 4.
2. Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 112 / 2 x 11 x 4 / 42
= 121 / 88 / 16
3. Go from Right to Left
Note down 6 and Carry 1.
4. Add carry 1 with 88,
i.e, (1 + 88) = 89, Note down 9 at the left of 6 and Carry 8.
5. Add carry 8 with 121,
i.e, (8 + 121) = 129, Note down 129 at the left of 9.
So, We get our answer (114)2 = 12996.
Rough Workspace

### Example #3

(223)2 = ?

1. 47332
2. 49729
3. 51743
4. 53982

Show Answer Show How to Solve Open Rough Workspace

How to Solve

1. Firstly break the number into two parts and Consider a = 22 and b = 3.
2. Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 222 / 2 x 22 x 3 / 32
= 484 / 132 / 9
3. Go from Right to Left
Note down 9 and Carry 0.
4. Add carry 0 with 132,
i.e, (0 + 132) = 132, Note down 2 at the left of 9 and Carry 13.
5. Add carry 13 with 484,
i.e, (13 + 484) = 497, Note down 497 at the left of 2.
So, We get our answer (223)2 = 49729.
Rough Workspace

### Example #4

(125)2 = ?

1. 11268
2. 13734
3. 15625
4. 18932

Show Answer Show How to Solve Open Rough Workspace

How to Solve

1. Firstly break the number into two parts and Consider a = 12 and b = 5.
2. Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 122 / 2 x 12 x 5 / 52
= 144 / 120 / 25
3. Go from Right to Left
Note down 5 and Carry 2.
4. Add carry 2 with 120,
i.e, (2 + 120) = 122, Note down 2 at the left of 5 and Carry 12.
5. Add carry 12 with 144,
i.e, (12 + 144) = 156, Note down 156 at the left of 2.
So, We get our answer (125)2 = 15625.
Rough Workspace

### You may also like to know:

If You Have any question regarding this topic then please do comment on below section. You can also send us message on facebook.

1. Rajshree Saraswat says:

Sir ur tricks are really very helpful….
But in (998)2 i.e 998×998 the trick suggested by u is failed. Plz help…

• You can do this way
998 x 998
998 x 9 = 8982 add two zero
998 x 9 = 8982 add one zero
998 x 8 = 7984
898200 + 89820 + 7984 = 996004

• Ravi Sankar Patnaik says:

Short Process
998 * 998 = 99604

1000-998=2
2 x 2 = 4
998-2=996

• Sneha sinha says:

Wao u r grt can u send some tips else.

• shweta says:

• Kuldeep says:

• sreedevi says:

if its 100 then prefix one zero to 4, since its 1000, prefix 2 zeros to 4 to make it a three digit number. then subtract 2 from 998,which is 996, so 996004

• Keshari says:

I know this is a abacus trick😃
Well done

• Nishath says:

Hi Priya,l The trick is working on 998 also. Plz check

• sasi says:

for the numbers around 1000 we should add three digits in the last
for eg
1.998 (1000-2)
2*2=4 so 004 and 998-2=996
2.992 (1000-8)
8*8=064 and 992-8=984

• rahul says:

99*99/2*99*8/8*8
9801/1584/64
9960 0 4 this trick. never fails

• guruvishnu says:

use base 1000 method

998 -002
998 -002
____________________
(998-02)/(-002*-002)

• yaman says:

u solved it wrong
the trick works accurately till 999 correct yourself

2. yoki says:

114^2= base 100..,,114 is moew than 100 by 14.
step 2: square of 14.,..,196..now put it in last…and carry 1…
final result is 12996.
same with numbers which are less than 100.
98^2= 100-98=2
now 98-2=”96″
2^2=”4″
put is at last..answer is 9604…remember to put a zero before 4… 🙂 😉 🙂

3. Shubham says:

you can also do like this;
(998)2=(1000-2)2 i.e. (a-b)2
(a-b)2= a2-2ab+b2
=(1000)2 – 2(1000×2) + (2)2
=1000000 – 4000 + 4
=996004

4. Ajay ingle says:

5. manisha says:

√11256 plz tell how to solve.this is not perfect square

• Ujjwal jain says:

No its not a perfect square

6. Sat'k says:

7. Asif says:

for squre
for Example: squre of 30
Ans: 30 x 30=900
E.g. 33
Ans: 33 x 33= 1089

8. Karthik3989 says:

My shortcut:
(999)2 = (1000)2 – 1000 – 999
(998)2 = (1000)2 -1000 – 999 – 999 – 998
or
(998)2 = (999)2 – 999 – 998
Likewise
(1001)2 = (1000)2 + 1000 + 1001
(1002)2 = (1001)2 + 1001 + 1000

To know (84)2,
We know (85)2 = 7225 (hope you know this)
(84)2 = 7225 – 85 – 84 = 8056.
(31)2 = (30)2 + 30 + 31

To find square root, there is an easy method available.

9. manish says:

Hi can u pls give a trick to solve square of 579 ?

10. rahul singhal says:

plz 122 square give with solution .

• 122 square = (12)square + 2 x 12 x 2 + (2)square
= 144 + 48 + 4 = 14884
follow the given steps you can get the ans.

11. rakshata says:

awesome trick sir mindblowing

12. rajshree says:

it is v useful.thank you.also want some tricks for squre roots.its too hrd

13. brijesh bhatiya says:

pls give me square root of 1225. also give me the short trick for find square root of 5,6,7 digit

14. Mee says:

Plz give me square root of 326. Ur trick is not working

15. Anil says:

it’s a very helpful trick sir…thank u so much….

16. Manish Verma says:

well its good. but i would like to share more about this…like if we want to find the value of sqare root. like 15625 = (?)^2.
so we simply take last digit which is “5”.
so now we got one value whose square having 5 in last,
and that is “5”.
put that 5 in last,
Now
take first 3 digits from 15625, which is 156
and the near by square value is 12^2=144
so the ans will be 125.

17. Deepak says:

Hey Guys!!
Hope you are doing Great!!

I have 3 digit no. 513, Please let me know square of this in shortcut keys.

18. 