Question

What is the value of ${56}^2$? Solve by diagonal method.

• A. 3036
• B. 3316
• C. 3136
• D. 3616

Answer 1

The correct option is C 3136

By diagonal method, the square of 56 can be obtained as follows.
56 has 2 digits
Draw a square and divide the square into $2^2$ sub squares.( since 56 has 2 digits)
Draw diagonals in each sub square in the same direction.
Write the digits of the number, 56 along the left vertical side and the top horizontal sides of the square.
Multiply each digit on the left of the square with each digit on the top of the square and write the respective units digit of the product below the diagonal and the tens digit above the diagonal.
Starting with the lowest diagonal, total the digits along the diagonal. Carry over the tens digit ( if any) to the next diagonal on the left.
The digits obtained below is the square of the given number.
For the number 56.

Hence, ${56}^2$ = 3136