Math

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Simplify Radicals Calculator.

Extract square factors from an integer square root.

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01

Set your values

Results update as you type.

Outside factor: 6

Outside factor

0.000000
Remaining radicand: 2

Remaining radicand

0.000000
Value: 8.485281

Value

0.000000
Simplified expression: 6·√2

Simplified expression

6·√2

Results update automatically as you type.

Use Cases

Check your algebra homework

Verify that you simplified square roots correctly in your math assignments. Enter the original radicand and compare the result with your own work.

Example: Simplify √50 to 5√2.

Prepare for exams or quizzes

Practice simplifying radicals quickly and accurately. Use the calculator to generate examples and build confidence before tests.

Example: Test yourself with √200 and see if you get 10√2.

Frequently Asked Questions

What does the Simplify Radicals Calculator do?
It takes a non-negative integer radicand (the number under the square root) and simplifies it by factoring out perfect squares. For example, √72 becomes 6√2.
How do I use the calculator?
Enter a non-negative integer in the 'Non-negative integer radicand' field. The calculator will then show the simplified form, which is the product of an integer (if any) and a square root of a smaller integer.
Can I simplify a radical with a negative number?
No, the calculator only accepts non-negative integers. Negative radicands involve imaginary numbers, which are not supported by this tool.

Tips & Common Mistakes

Tips

  • Remember that a perfect square factor is a number like 4, 9, 16, 25, etc. Look for the largest one that divides the radicand.
  • If the radicand is already a perfect square, the simplified form is just an integer (e.g., √81 = 9).
  • The calculator only works with non-negative integers, so ensure your input is a whole number greater than or equal to zero.
  • Use the result to check your manual simplification steps, but also practice doing it by hand to reinforce the concept.

Common Mistakes to Avoid

  • Entering a negative number or a decimal – the calculator only accepts non-negative integers.
  • Forgetting to extract all perfect square factors, leading to an incomplete simplification (e.g., simplifying √72 to 2√18 instead of 6√2).
  • Confusing the radicand with the index – this calculator is for square roots only, not cube roots or higher.

Last updated: August 13, 2026