Table of Contents
- Long Division Method – Example
- What’s Next?
In the previous segment, we used the long division method to find the square root of a 5-digit number. In this segment, we will look at one more example.
Example
Q. Find the square root of 73441.
Solution:
Step 1: Write the division.
Step 2: Mark pairs of digits from the units end.
In this case, there are five digits. To avoid confusion, 7 can be considered as 07. So the pairs are 07, 34, and 41.
Step 3: Find the perfect square equal to or lower than the first pair from the left.
The first pair is 07.
The perfect square which is just less than 7 is 4.
4 = 22
Step 4: Multiply above and add below.
2 × 2 = 4
2 + 2 = 4
Step 5: Draw a box next to the sum and subtract the product from the number above it. 7 – 4 = 3
Step 6: Bring the next pair down. The next pair is 34.
Step 7: Draw a box above and below.
Step 8: Using trial and error find the digit in the boxes, which is the same for all the boxes. The number should be such that the product is less than or equal to 334.
47 × 7 = 329
329 is closer and lower than 334. Hence, the number in the box is 7.
Step 9: Multiply above and add below.
47 × 7 = 329
47 + 7 = 54
