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Find the square of 76 by column method |
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Answer» finding the square of 37 by column methodStep-by-step EXPLANATION:ANSWERHere, a=3 and B=7Step 1: Make 3 columns and write the values of a 2 ,2×a×b and b 2 in these columns. Column I Column II Column III a 2 2×a×b b 2 9 42 49Step 2: Underline the unit DIGIT of b 2 (in Column III ) and add its tens digit, if any, with 2×a×b ( in column II ) Column I Column II Column III a 2 2×a×b b 2 9+4 42+4 4 9 13 46 Step 3: Underline the unit digit in Column II and add the number formed by the tens and other digits if any, with a 2 in Column I. Under line number in column I.Column I Column II Column III a 2 2×a×b b 9+4 42+4 4 9 13 4 6 Step 4: Write the underline digits at the bottom of each column to obtain the square of the GIVEN number.In this case, we have:37 2 =1369Using multiplication :37×37=1369This matches with the result obtained the column method. |
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