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Solve using the column method:

$(52) 2 =$ [[1]].

see full answer

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Detailed Solution

Using the column method,

(52) 2 = 2704.

The given number is 52.
Let the given number is

(a b) 2 .

Thus, here

a = 5

and

b = 2.

Now, make the table having three columns and write the value of

a 2,

2 × a × b,

and

b 2

respectively in these columns.
Question Image

Underline the unit digit of

b 2

and add its tens digit, if any, to

2 × a × b .

Underline the units digit of

2 × a × b

and add the number formed by tens and other digits, if any, to

a 2 .

Underline the number of

a 2 .

Combine the underlined digits to get the square of the given number.
Question Image

Thus,

(52) 2 = 2704.

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