Example 1 Find Square of 57
(5 7)²=————
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Step1– 5²+7=25+7
=32
Step2- Square of last digit
( 7)²= 49
Ans. from Step1 and Step2
(57)²=Step 1 Step 2
=3349
Example 2- Find square of 53.
(53)²=(25+3)3²
=2809
Formula for it—–
( XY)²=(X²+Y)(Y)²
Case 2: Find Square between 91-99
Example 1 Find square of 96.
(96)²=————
Step1. Find difference with 100
100-96=4
Step 2. Subtract from given no.
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96-4=92
Step 3. Square of step 1 value
(4)²=16
Ans by step 2 and step 3
(96)²=92 16
Example 2
Find value (93)²-
(93)²=90 09
Formula for it
(XY)²=(XY-Y)(Y)²
Case3:Find Square between 101-129
Example 1 : Find Square of 104.
( 1 0 4)²=—————
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Step1 : 104+4
=108
Step2: Square of last two digit of given no.
( 04)²=16
Ans By step 1 step 2
(104)²=Step1 step 2
= 108 16
Example2– Find value (116)²
(116)²=(116+16) (16)²
= (132) (256)
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= 134 56
= 13456
Formula for it–
( XYZ)²= (XYZ+YZ)(Z)²
Case 4: Find Square of between 1001-1029
Example 1– Find square of 1013
(10 13)²=———————
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Step 1- 1013 +13
=1026
Step. 2- Square value of last two digit
(13)²=169
Ans by step 1 and step 2
(1013)²=1026 169
Formula for it-
( ABCD)²=(ABCD+CD) (CD)²