**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} = a^{2} + 2ab + b^{2}

i.e, (a / b)^{2} = a^{2} / 2ab / b^{2} *[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

**Answer:**Option (D)

**How to Solve**

- Firstly break the number into two parts and Consider a = 7 and b = 6.
- Applying formula,

a^{2}+ 2ab + b^{2}

OR

a^{2}/ 2ab / b^{2}

= 7^{2}/ 2 x 7 x 6 / 6^{2}

= 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.

**Rough Workspace**

### Example #2 – Square and Square Root using Formula

(55)^{2} = ?

- 2730
- 3025
- 3328
- 3745

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

- Firstly break the number into two parts and Consider a = 5 and b = 5.
- Applying formula,

a^{2}+ 2ab + b^{2}

OR

a^{2}/ 2ab / b^{2}

= 5^{2}/ 2 x 5 x 5 / 5^{2}

= 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.

**Rough Workspace**

### Example #3 – Square and Square Root using Formula

(57)^{2} = ?

- 3028
- 3249
- 3482
- 3745

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

- Firstly break the number into two parts and Consider a = 5 and b = 7.
- Applying formula,

a^{2}+ 2ab + b^{2}

OR

a^{2}/ 2ab / b^{2}

= 5^{2}/ 2 x 5 x 7 / 7^{2}

= 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.

**Rough Workspace**

### Example #4 – Square and Square Root using Formula

(69)^{2} = ?

- 4761
- 4993
- 5373
- 5936

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

- Firstly break the number into two parts and Consider a = 6 and b = 9.
- Applying formula,

a^{2}+ 2ab + b^{2}

OR

a^{2}/ 2ab / b^{2}

= 6^{2}/ 2 x 6 x 9 / 9^{2}

= 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.

**Rough Workspace**

### Example #5 – Square and Square Root using Formula

(84)^{2} = ?

- 6026
- 6578
- 7056
- 7349

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

- Firstly break the number into two parts and Consider a = 8 and b = 4.
- Applying formula,

a^{2}+ 2ab + b^{2}

OR

a^{2}/ 2ab / b^{2}

= 8^{2}/ 2 x 8 x 4 / 4^{2}

= 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.

**Rough Workspace**

### 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