Name: Estimation of Square Roots
Uploaded: 2019-07-19
Duration: 6 min 2 s
Description: For not-perfect squares, we can estimate their square root to the closest whole number. Learn how to estimate the square root of non-perfect squares.

Question

Find the squares of the following numbers using diagonal method:

$273$

Accepted Answer

Given number is $273$

Step 1: Obtain the number and count the number of digits in it. Let there be n digits in the number to be squared.There are $3$ digits in the given number.

Step 2: Draw square and divide it into $3^{2} = 9$ sub-squares of the same size by drawing $(3 - 1)$ horizontal and $(3 - 1)$ 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 sand 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 digit 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.

Hence, the required $273^{2} = 74529$ .

Find the squares of the following numbers using diagonal method:

$273$

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the squares of the following numbers using diagonal method: 273

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the squares of the following numbers using diagonal method:

$273$