Square And Square Root of two digit

Square and square Root of Two digits:

 

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 math 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 get using formula

Formula: (a+b)² = a²+2ab+b² i.e, (a / b)²= a² / 2ab / b²
we applied this formula to obtain the square of a number

Example #1 – Square and Square Root using Formula
( 57 )²
= ( 5 / 7 )²
Answer :
Apply formula of a²+2ab+b²
Consider,
57² = ?
A as 5
B as 7 (we break the number in two parts i.e, A as 5 and B as 7 and applied formula )
= 5² / 2 x 5 x 7 / 7²
= 25 / 2 x 5 x 7 / 49
a²= 25
b²= 49
2ab = 2 x 5 x 7 = 70
= 25 / 70 / 49
Step 1: Put down 9 carry 4
Step 2: add carry 4 to 70 = 74 put down 4 carry 7
Step 3: add carry 7 to 25 = 32 put down 32
So, answer is 3249,

All this do on your mind which will help in fast calculation to obtain the answer of Square and Square Root of a number.
we applied this formula to obtain the square of a number.

Example #2 – Square and Square Root using Formula
(69)²
= (6/9)²
Answer :
Consider A as 6, and B as 9.
= 6² / 2 x 6 x 9 / 9²
= 36 / 2 x 6 x 9 / 81 (we break the number in two parts i.e, A as 6 and B as 9 and applied formula )
a² = 36
b²= 81
2ab = 2 x 6 x 9 = 108
=36 / 108 / 81

Step1: put down 1 carry 8
Step2 : add 8 to 108 =116 then put down 6 carry 11
Step3 : and add 11 to 36 = 47 and put down 47
=So, answer is 4761,
Note: All this do on your mind which will help in fast calculation to obtain the answer of Square and Square Root of a number.

Example #3 – Square and Square Root using Formula

(84)²
= (8/4)²
Answer :
Consider A as 8, and B as 4.
= 8²/ 2 x 8 x 4 / 4²
= 64 / 2 x 8 x 4 / 16 (we break the number in two parts i.e, A as 8 and B as 4 and applied formula )
a² = 64
b² = 16
2ab = 2 x 8 x 4 = 64
=64 / 64 / 16

Step 1: put down 6 carry 1
Step 2 : add 1 to 64 = 65 then put down 5 carry 6
Step 3 : and add 6 to 64 = 70 and put down 70
So, answer is 7056,