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
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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