Square and Square Root get using formula1
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 folmula
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:
( 57 )2
= ( 5 / 7 )2
Answer :
Aply 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
and answer is 3249,
= 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
This is similar to the above Example.
Example 2:
(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,
= 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.
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.
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 folmula
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:
( 57 )2
= ( 5 / 7 )2
Answer :
Aply 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
and answer is 3249,
= 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
This is similar to the above Example.
Example 2:
(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,
= 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.
You may also like to know:
- Square and Square Root of three digit get using formula 1
- Square and Square Root of 100 base method
- Square and Square root a number ending in 6
- << Go back to Square and Square Root main page
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.
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