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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