Online Surds Calculator
Simplify, add, subtract, multiply, and expand surd expressions with step-by-step solutions
Simplify and Operate with Surds
Examples: √50, 2√3, 3√8, √18 + √8
Examples: √2, 4√5, √18, 2√3 - √12
Result and Calculation Steps
Enter expressions and click an operation to see results and steps
About Surds and This Calculator
A surd is an expression containing a square root that cannot be simplified to a rational number. This surds calculator helps students and teachers to:
- Simplify surd expressions to their simplest form
- Add and subtract surd expressions with step-by-step working
- Multiply surds and expand expressions involving surds
- Understand the mathematical principles behind surd manipulation
Our surds simplifier provides detailed steps to help you learn the process rather than just getting the answer.
How the Surds Calculator Works
1
Simplifying Surds: Factor the number under the square root into perfect squares
2
Adding/Subtracting: Only surds with identical radicands can be directly combined
3
Multiplying Surds: Apply the rule √a × √b = √(a×b) and simplify
4
Expanding Expressions: Use distributive property and simplify each term
Try Our Other Calculators
Square Root Curve Calculator
Calculate NowPercentage Calculator
Calculate NowVenn Diagram Calculator
Calculate NowMidpoint Calculator
Calculate NowEquilibrium Calculator
Calculate NowFrequently Asked Questions
What is a surd in mathematics?
How do you simplify surds?
Can you add different surds together?
How do you multiply surds?
What does "expand and simplify surds" mean?
Created by Sadiq Saleem | Reviewed by Team TheEducationistHub