Question

find the square of 65 by column method​

Answer 1

Answer:

4225

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Answer 2

Here, a = 6 and b = 5

Step 1: Make 3 columns and write the values of a² ,2×a×b and b² in these columns.

Column I Column II Column III

a² 2×a×b b²

36 60 25

Step 2: Underline the unit digit of b² (in Column III ) and add its tens digit, if any, with 2×a×b ( in column II )

Column I Column II Column III

a² 2×a×b b²

36 60 + 2 25

62

Step 3: Underline the unit digit in Column II and add the number formed by the tens and other digits if any, with a² in Column I. Under line number in column I.

Column I Column II Column III

a² 2×a×b b

36 + 6 60 + 2 25

42 62

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:

65² = 4225

Using multiplication

65 × 65 = 4225

This matches with the result obtained the column method.