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323 LearnersLast updated on August 5, 2025

A radical calculator is a tool used for simplifying and performing operations involving square roots, cube roots, and other types of roots. It simplifies expressions that contain radicals, making the calculation much easier and faster, saving time and effort.
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the expression: Input the mathematical expression containing radicals into the given field.
Step 2: Click on calculate: Click on the calculate button to simplify the expression and get the result.
Step 3: View the result: The calculator will display the result instantly.


To simplify radicals, the calculator uses the property that a radical can be broken down into its prime factors.
For example: √(a * b) = √a * √b
This property helps in simplifying expressions by breaking down the radical into simpler terms.
For instance, to simplify √50, we can express it as √(25 * 2) = √25 * √2 = 5√2.
When using a radical calculator, there are a few tips and tricks that can make the process easier and help avoid mistakes:
We may think that when using a calculator, mistakes will not happen. But it is possible for users to make mistakes when using a calculator.
What is the simplified form of √72?
To simplify √72, break it into prime factors: √72 = √(36 * 2) = √36 * √2 = 6√2
Therefore, √72 simplifies to 6√2.
By breaking down 72 into its prime factors, we find that it equals 36 times 2.
The square root of 36 is 6, simplifying the radical to 6√2.
How can you simplify the expression √(50) * √(2)?
Simplify the expression using the property: √(50) * √(2) = √(50 * 2) = √100 = 10
Therefore, √(50) * √(2) simplifies to 10.
Multiplying the radicals inside a single radical and simplifying gives the result.
Here, √(50 * 2) becomes √100, which equals 10.
Simplify the radical expression √(32).
To simplify √32, express it in terms of its prime factors: √32 = √(16 * 2) = √16 * √2 = 4√2
Therefore, √32 simplifies to 4√2.
Breaking down 32 into 16 times 2 allows us to simplify the radical to 4√2.
What is the simplified form of 3√(75)?
Simplify 3√75 by breaking down 75: 3√75 = 3√(25 * 3) = 3 * √25 * √3 = 3 * 5 * √3 = 15√3
Therefore, 3√75 simplifies to 15√3.
The radical 75 can be expressed as 25 times 3.
Simplifying gives 5√3, and multiplying by 3 gives the result 15√3.
How do you simplify the expression 2√(18) + 3√(8)?
First, simplify each radical: 2√18 = 2√(9 * 2) = 2 * 3√2 = 6√2
3√8 = 3√(4 * 2) = 3 * 2√2 = 6√2
Add the simplified expressions: 6√2 + 6√2 = 12√2
Therefore, 2√18 + 3√8 simplifies to 12√2.
Simplifying each radical separately and then combining them using addition gives the final result of 12√2.
Nishtha is a passionate Maths teacher with 3 years of teaching experience. She focuses on making mathematics simple, engaging, and stress-free through student-centric, interactive, and exam-oriented teaching. With strong fundamentals, regular practice, an
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