Simplify Square Root Calculator
Simplify any square root to its simplest radical form. Enter a number and get the simplified square root along with a step-by-step explanation.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator simplifies a square root by factoring out perfect squares from the radicand (the number inside the radical).
- Enter a positive integer (greater than 0) into the "Number" field.
- Click the "Simplify" button.
- The result will show the simplified form, e.g.,
3√5(meaning 3 times the square root of 5). - Below the result, a step-by-step explanation shows the prime factorization and how perfect squares were extracted.
Note: Only positive integers are accepted. If the number is a perfect square (like 16), the result will be a whole number (e.g., 4).
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Frequently Asked Questions
To simplify a square root, factor the number into its prime factors, pair up identical factors, take one factor from each pair outside the radical, and leave the rest inside.
The simplest radical form is when the number under the square root has no perfect square factors (other than 1). For example, √12 simplifies to 2√3.
This calculator only handles positive integers. For negative numbers, you would need to involve imaginary numbers (i).
