The Square Root Calculator is a tool to calculate the Square Root of of a Number without the need of calculations.
Square Root Calculator
Square Root: ---
The Long Division method
This method is suitable for finding an approximate square root manually.
Let’s say you want to find the square root of 25. Start by estimating a value that, when squared, is close to 25. For example, you know that 5 * 5 = 25. So, you can estimate that the square root of 25 is close to 5.
To refine the estimate, use long division as follows:
- Divide 25 by your estimate (5): 25 ÷ 5 = 5.
- Average the result with your estimate: (5 + 5) ÷ 2 = 5.
Repeat the process by dividing 25 by the new estimate:
- Divide 25 by 5: 25 ÷ 5 = 5.
- Average the result with the estimate: (5 + 5) ÷ 2 = 5.
Continue this process until you achieve the desired level of accuracy. In this case, you’ll find that the square root of 25 is exactly 5.