Square and Square Root of two digit get using formula 1

Square and Square Root 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.

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 we prepared 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 = ?
The result of (76)2 is 5776.

Shortcut Tricks

  1. Firstly break the number into two parts and Consider a = 7 and b = 6.
  2. Applying formula,
    a2 + 2ab + b2
    OR
    a2 / 2ab / b2
    = 72 / 2 x 7 x 6 / 62
    = 49 / 84 / 36
  3. Go from Right to Left
    Note down 6 and Carry 3.
  4. Add carry 3 with 84,
    i.e, (3 + 84) = 87, Note down 7 at the left of 6 and Carry 8.
  5. 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 = ?
The result of (55)2 is 3025.

Shortcut Tricks

  1. Firstly break the number into two parts and Consider a = 5 and b = 5.
  2. Applying formula,
    a2 + 2ab + b2
    OR
    a2 / 2ab / b2
    = 52 / 2 x 5 x 5 / 52
    = 25 / 50 / 25
  3. Go from Right to Left
    Note down 5 and Carry 2.
  4. Add carry 2 with 50,
    i.e, (2 + 50) = 52, Note down 2 at the left of 5 and Carry 5.
  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 – Square and Square Root using Formula
(57)2 = ?
The result of (57)2 is 3249.

Shortcut Tricks

  1. Firstly break the number into two parts and Consider a = 5 and b = 7.
  2. Applying formula,
    a2 + 2ab + b2
    OR
    a2 / 2ab / b2
    = 52 / 2 x 5 x 7 / 72
    = 25 / 70 / 49
  3. Go from Right to Left
    Note down 9 and Carry 4.
  4. Add carry 4 with 70,
    i.e, (4 + 70) = 74, Note down 4 at the left of 9 and Carry 7.
  5. 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 – Square and Square Root using Formula
(69)2 = ?
The result of (69)2 is 4761.

Shortcut Tricks

  1. Firstly break the number into two parts and Consider a = 6 and b = 9.
  2. Applying formula,
    a2 + 2ab + b2
    OR
    a2 / 2ab / b2
    = 62 / 2 x 6 x 9 / 92
    = 36 / 108 / 81
  3. Go from Right to Left
    Note down 1 and Carry 8.
  4. Add carry 8 with 108,
    i.e, (8 + 108) = 116, Note down 6 at the left of 1 and Carry 11.
  5. 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 – Square and Square Root using Formula
(84)2 = ?
The result of (84)2 is 7056.

Shortcut Tricks

  1. Firstly break the number into two parts and Consider a = 8 and b = 4.
  2. Applying formula,
    a2 + 2ab + b2
    OR
    a2 / 2ab / b2
    = 82 / 2 x 8 x 4 / 42
    = 64 / 64 / 16
  3. Go from Right to Left
    Note down 6 and Carry 1.
  4. Add carry 1 with 64,
    i.e, (1 + 64) = 65, Note down 5 at the left of 6 and Carry 6.
  5. 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:

 

We provide few shortcut tricks on this topic. Please visit this page to get updates on more Math Shortcut Tricks. You can also like our facebook page to get updates.

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

37 comments

    • Admin says:

      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

Leave a Reply