Radicals Expansion Solver
FOIL with
Radical Expressions
Multiply binomials containing square roots and radicals step-by-step, including rationalization and radical simplification.
Type radicals using 'r' or 'sqrt' — e.g. (3 + r5)(2 - r5) or (1 + sqrt(2))(3 + 2*sqrt(2))
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Math Theory
How to FOIL with Radicals?
Multiplying binomials with radicals (square roots) follows the same FOIL rules, but requires simplifying radical products like √x · √x = x and √x · √y = √x·y.
For example, in (2 + √3)(5 - √3), the last product is √3 · (-√3) = -3. You then combine integer constants and like radical terms.
This calculator automates the multiplication, rationalizes where necessary, and provides a clear breakdown of radical arithmetic.
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