Square and Square Root of three digit get using formula 1

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.

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 = ?
The result of (122)2 is 14884.

Shortcut Tricks

  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.

 

 

Example #2 – Square and Square Root of Three digit number
(114)2 = ?
The result of (114)2 is 12996.

Shortcut Tricks

  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.

 

 

Example #3 – Square and Square Root of Three digit number
(223)2 = ?
The result of (223)2 is 49729.

Shortcut Tricks

  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.

 

 

Example #4 – Square and Square Root of Three digit number
(125)2 = ?
The result of (125)2 is 15625.

Shortcut Tricks

  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.

 

 

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24 comments

  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…

  2. yoki says:

    114^2= base 100..,,114 is moew than 100 by 14.
    step1: add 14 to 114….114+14=128
    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. 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.

    • Admin says:

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

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