Question

find the square of 17

Answer 1

Hey friend, ☺️ here is your answer ___________________________

Square of 17 = 17 × 17 = 289

Hope this helps you.

Answer 2

Step-by-step explanation:

The best way to find the square of 17 is to byhurt the squares of 1 to 20 numbers. The answer could be found by visual method or diagonal method.

Refer to the images to get the answer by visual, diagonal method.

Visual Method :- The square of a positive integer can be computed by the visual representation of (a+b)². In order to represent (a+b)², we draw a square of side a+b and divide it into two rectangles of size a×(a+b) and b×(a+b) by drawing a vertical line. These two lines divide the square into 4 parts, namely, two squares of size a×a and b×b and two rectangles of size a×b and b×a. The sum of the areas of these four parts is:-

a×a+a×b+b×a+b×b = a²+2ab+b² = (a+b)².

Diagonal method:-

This method is applicable to find the square of any number irrespective of the number of digits in the number.

Steps to find out a square of a number by diagonal method as follows:-

Step 1: Obtain the number and count the number of digits in it. Let there be 'n' digits in the number to be squared.

Step 2: Draw square and divide it into n² sub-squares of the same size by drawing (n-1) horizontal and (n-1) vertical lines.

Step 3: Draw the diagonals of each sub-square.

Step 4: Write the digits of the number to be squared along left vertical side and top horizontal side of the squares.

Step 5: Multiply each digit on the left of the square with each digit on top of the column one-by-one. Write the units digits of the product below the diagonal and tens digit above the diagonal of the corresponding sub-square.

Step 6: Starting below the lowest diagonal sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal above.

Step 7: Obtain the required square by writing the digits from the left most side.

Finally, 17² = 289.