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))
النتيجة الموسعة
التحليل المرئي
الأول
الخارجي
الداخلي
الأخير
اجمع كل الحدود
النتيجة المبسطة
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.
الأسئلة الشائعة
الأسئلة المتكررة
Personalized questions and guidance about this specific tool.