Radical Simplifier
Simplify square roots by extracting the largest perfect-square factor and finding the square-free number left inside.
Math puzzle
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Instructions, device progress and accessibility
Choose Easy, Normal or Hard. Select Practice or the daily puzzle (UTC). Complete every algebra field, then choose Check answer. Hints and Undo mark the round as assisted. Progress stays on this device; daily puzzles reset at 00:00 UTC.
Local progress is checked when play begins.
How to play Radical Simplifier
Simplify square roots by extracting the largest perfect-square factor and finding the square-free number left inside. Choose a difficulty, work through each puzzle and enter exact values or select the correctly rearranged formula. The free Daily and Practice modes keep progress on your device.
Worked algebra example
√72 = √(36 × 2) = 6√2. The outside factor is 6 and the inside radicand is 2.
Key formulas and common mistakes
If n = k²m and m is square-free, √n = k√m. Use m = 1 when the radical simplifies to an integer.
Frequently asked questions
What does square-free mean?
A square-free positive integer has no divisor larger than one that is itself a perfect square.
How do I simplify √50?
Factor 50 = 25 × 2, then √50 = 5√2.