A radical calculator simplifies square roots, cube roots and other roots, and performs operations like adding, multiplying and rationalizing radical expressions. It shows each step, which makes it a great tool for algebra homework and test prep.
To simplify a square root, find the largest perfect square that divides the number. For √72, the largest perfect square factor is 36, so √72 = √36 × √2 = 6√2. For cube roots, look for perfect cubes: ∛54 = ∛27 × ∛2 = 3∛2. With variables, pull out pairs for square roots: √(x⁵) = x²√x.
To add or subtract radicals, they must have the same index and the same radicand, just like like terms: 3√2 + 5√2 = 8√2, but 3√2 + 5√3 can’t be combined. To multiply, multiply the numbers inside: √3 × √12 = √36 = 6. To rationalize a denominator, multiply the top and bottom by the radical: 5/√2 = 5√2/2. For denominators like 1/(3 + √2), multiply by the conjugate (3 − √2).
Common mistakes: thinking √(a + b) equals √a + √b (it doesn’t), forgetting to simplify fully, and losing negative signs. Remember that square roots of negative numbers aren’t real numbers, though they’re defined in the complex number system.
Tips for getting accurate results from the Radical Calculator: double-check that every input uses the right units, enter numbers without commas or symbols, and run the calculation a second time with a quick estimate in your head to confirm the answer looks reasonable.
How to use the Radical Calculator on Minedit: enter your values in the fields, press calculate, and review the step-by-step breakdown under the result. If something looks off, change one input at a time to see how it affects the answer, which is also a great way to learn the math behind it.
Learn more on Wikipedia’s nth root article. Find factoring, quadratic equation and long division calculators on Minedit.