Square and Square Root of two digit get using formula 1
Square and Square Root of two digit shortcut tricks are very important thing to know for your exams. 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. We provide examples on Square and Square Root of two digit shortcut tricks here in this page below. All tricks on square and square root of two digit are provided here. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Square and Square Root of two digit.
First of all do a practice set on math of any exam. Write down twenty math problems related to this topic on a page. Using basic math formula do first ten maths of that page. You also need to keep track of Timing. Write down the time taken by you to solve those questions. Now read our examples on square and square root of two digit shortcut tricks and practice few questions. After finishing this do remaining questions using Square and Square Root of two digit shortcut tricks. Again keep track of the time. This time you will surely see improvement in your timing. But this is not enough. If you need to improve your timing more then you need to practice more.
Few Important things to Remember
We all know that the most important thing in competitive exams is Mathematics. That doesn’t mean that other topics are less important. You can get a good score only if you get a good score in math section. Only practice and practice can give you a good score. The only thing you need to do is to do your math problems correctly and within time, and only shortcut tricks can give you that success. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But other peoples may not do the same.
For those students, we prepare this square and square root of two digit shortcut tricks. We try our level best to put together all types of shortcut methods here. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.
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,lets how the formula that can easily obtain the answer of Square and Square Root.
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 Two digit number.
Example #1 – Square and Square Root using Formula
(76)2 = ?
- 5001
- 5339
- 5663
- 5776
Show Answer Show How to Solve Open Rough Workspace
- Firstly break the number into two parts and Consider a = 7 and b = 6.
- Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 72 / 2 x 7 x 6 / 62
= 49 / 84 / 36 - Go from Right to Left
Note down 6 and Carry 3. - Add carry 3 with 84,
i.e, (3 + 84) = 87, Note down 7 at the left of 6 and Carry 8. - Add carry 8 with 49,
i.e, (8 + 49) = 57, Note down 57 at the left of 7.
So, We get our answer (76)2 = 5776.
Example #2 – Square and Square Root using Formula
(55)2 = ?
- 2730
- 3025
- 3328
- 3745
Show Answer Show How to Solve Open Rough Workspace
- Firstly break the number into two parts and Consider a = 5 and b = 5.
- Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 52 / 2 x 5 x 5 / 52
= 25 / 50 / 25 - Go from Right to Left
Note down 5 and Carry 2. - Add carry 2 with 50,
i.e, (2 + 50) = 52, Note down 2 at the left of 5 and Carry 5. - Add carry 5 with 25,
i.e, (5 + 25) = 30, Note down 30 at the left of 2.
So, We get our answer (25)2 = 3025.
Example #3
(57)2 = ?
- 3028
- 3249
- 3482
- 3745
Show Answer Show How to Solve Open Rough Workspace
- Firstly break the number into two parts and Consider a = 5 and b = 7.
- Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 52 / 2 x 5 x 7 / 72
= 25 / 70 / 49 - Go from Right to Left
Note down 9 and Carry 4. - Add carry 4 with 70,
i.e, (4 + 70) = 74, Note down 4 at the left of 9 and Carry 7. - Add carry 7 with 25,
i.e, (7 + 25) = 32, Note down 32 at the left of 4.
So, We get our answer (57)2 = 3249.
Example #4
(69)2 = ?
- 4761
- 4993
- 5373
- 5936
Show Answer Show How to Solve Open Rough Workspace
- Firstly break the number into two parts and Consider a = 6 and b = 9.
- Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 62 / 2 x 6 x 9 / 92
= 36 / 108 / 81 - Go from Right to Left
Note down 1 and Carry 8. - Add carry 8 with 108,
i.e, (8 + 108) = 116, Note down 6 at the left of 1 and Carry 11. - Add carry 11 with 36,
i.e, (11 + 36) = 47, Note down 47 at the left of 6.
So, We get our answer (69)2 = 4761.
Example #5
(84)2 = ?
- 6026
- 6578
- 7056
- 7349
Show Answer Show How to Solve Open Rough Workspace
- Firstly break the number into two parts and Consider a = 8 and b = 4.
- Applying formula,
a2 + 2ab + b2
OR
a2 / 2ab / b2
= 82 / 2 x 8 x 4 / 42
= 64 / 64 / 16 - Go from Right to Left
Note down 6 and Carry 1. - Add carry 1 with 64,
i.e, (1 + 64) = 65, Note down 5 at the left of 6 and Carry 6. - Add carry 6 with 64,
i.e, (6 + 64) = 70, Note down 70 at the left of 5.
So, We get our answer (84)2 = 7056.
You may also like to know:
- Get three digit Square and Square Root using formula 1
- Square and Square Root of 100 base method
- Square and Square root a number ending with 6
- << Go back to Square and Square Root main page
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nice
This is the best way to learn, I have learned root for 2 digits. I appreciate to you!
Help me to do 82
8*8/2*2*8/2*2
64/32/4
we take 4 as it is then take 2 from 32 and add 3 in the 64
we will found 6724
64+3/24=6724
64/32/04
4 carry-0
Add 2 carry -3
Add 3 to 64
Final answer is 6724
super
thanks a lot…….gr8.
Thanks a lot it is really helpful
NICE FORMULA
Nice one. Very Good Trick. Thanks…
Super…
thats best great sir really aap kar rahe hai samaj seva
thanks sumit
how to find root sir?
Dear admin please use the above trick for 73 and reply answer to same
73
7*7/2*7*3/3*3
49/42/09
leave 9 carry 0
add 0+42=42 leave 2 carry 4
4+49=53
final answer is 5329
awesome trick.. easy and convenient.. thanks
Ultimate trick dude …….. Thank You very much.. !!!!
very helpful
nice website.
wonderful tricks
So good
You told only about square not about root .
So plz tell how to find out root of any number
Ex … 53824
Hame aapka trik bhut accha lga
Very very well
hello sir. you taught to find square of a number but what about square root. please post it too .
sir, plz tell me any trick for more than 4 digits number
How to find sq. Of 939
short cut trick for 939 =
Step 1: near about 1000 number you should subtract it 1000 – 939 = 61
Step 2: then result subtract it from original number and square the subtract number place like this
= 939 – 61 / (61)square
= 939 – 61 / 3721
878 / 3721
Step 3 : put three digit from left side and 3 added with 878
So 881721 is answer.
Hope it will help u. keep visiting
hlo what is this ???? yepdi ipdilam………….
very good
IM not getting the correct answer
How to do sq root of11
superb ever
I can’t understand
Now this is something praiseworthy .
Thanks
I can’t understood how did last two numbers will taken from ….??
Hello Sir ,formula for square of number are given but not formula for square root.please post it also
nice but boring
hlo y are u not taking my comment
64+3/24=6724
can you sir other short cut formula
Genius sir
Nice solution for lengthy solun
In the place of 2ab if we
Get the product as 3 digit number .then how ?
another trick 25*25=625 the formula is N=2. N*(N+1) add 25 ……………….. 2*(2+1)=6 add 25= 625 for any two digit end with 5 but you’re formula surprised me hahaha
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