Find square of 3 and 4 digits

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Tricks for find 3 digit square:

Example. Find value (233)².
                   (233)²=——————
Step1
Write no. as
         233= 200(Two digit Zero)+33
     ( 233)²=(200+33)²
Step2– Place formula (A+B)²-
          
     (A+B)²=A² + 2AB + B²

(200|33)²= 200² + 2×200×33 +33²
                =4 0000+ 132 00+1089
               =54289
Ans is (233)²=54289

Example 2
Find value of (316)²
          
     (316)²= 3² |2×3×1|2×3×6+1²|2×1×6| 6²
               = 09 |6|37|12 |  36
               =—— — —   —  —
                   |  | |   |   |     |
               =  0  9 9   8   5      6
Formula for it

(ABC)²=A²| 2AB | 2AC+B²|2BC|C²

Trick for find 4 Digit’s no. Square –

Example – Find value of (1235)²-
   
Step1. Write as with last 2 digit zero
    1235²=(1200+  35)²
                 |            |
             = A²+2AB+B²
            =1440000+2×1200×35+35²
            =1525225
                    (‘-‘)Happy Learning

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