How to Calculate Square Root: A Step-by-Step Guide
Finds the square root.
These calculations come up in school, at work and in daily life, from PSLE and O-Level practice to measuring a room for new flooring. Doing them by hand builds understanding, and a calculator lets you check the answer instantly.
What you need
- Number
Step by step
- Enter the number.
- The results update as you type, or press Calculate.
- Read the √x first, then the supporting figures below it.
The formula
√x is the number that multiplied by itself gives x.
Worked example
For example, with these inputs:
- Number: 50
the calculator returns:
- √x: 7.0711
A second example
Now change the inputs to:
- Number: 62.5
the calculator returns:
- √x: 7.9057
Practical tips
- For exam work, show your method; marks are often given for working, not just the answer.
- Keep units consistent: convert everything to the same unit before calculating.
- Write down the formula before plugging numbers in; it prevents mixing up variables.
- Use brackets to make the order of operations explicit.
Background
A quick mental estimate before calculating is a powerful check. If a room's floor area comes out at 4,000 square metres or a percentage comes out above 100% when it should not, you know to look again.
In everyday life the same maths shows up in discounts, recipe scaling, renovation measurements and comparing prices per unit. Being comfortable with it saves money and avoids costly measuring mistakes.
These calculations appear throughout the Singapore syllabus, from primary school percentages and fractions to secondary school algebra and geometry. Understanding the formula makes problem sums easier because you can recognise which quantity is missing.
Related calculations
- Perimeter of an Ellipse Calculator: Calculates the perimeter of an ellipse from the measurements you enter.
- Arc Length Calculator: Calculates the arc length from the measurements you enter.
- Volume of a Cube Calculator: Calculates the volume of a cube from the measurements you enter.
- Volume of a Cuboid Calculator: Calculates the volume of a cuboid from the measurements you enter.
Want to skip the arithmetic? The free Square Root Calculator does all of this instantly and updates as you type.
Run your own numbers: Square Root Calculator