Math, asked by jasnumsinghs, 5 months ago

Find the squares of the following numbers
using the column method. Verify the result
by finding the square using the usual
method.
(1) 26 (ii) 38 (iii) 42
(iv) 76​

Answers

Answered by mayurikajuthu
4

Here, a=3 and b=7

Step 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 49

Step 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

=1369

Using multiplication :

37×37=1369

This matches with the result obtained the column method.

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