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Radicals - Multiplying Binomials (Values and Variables) (Level 1)

This math topic focuses on practicing the multiplication of radical expressions involving binomials that include both numerical and variable components. The skills developed entail expanding and simplifying algebraic expressions that feature radicals and a variety of operations such as addition, subtraction, and multiplication. Each problem is presented with multiple-choice answers for students to select the correctly simplified version of the radical product. The main theme of these problems is not only to perform the multiplication accurately but also to apply the rules for simplifying square roots and combining like terms.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Multiplying Binomials (Values and Variables)

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Multiply the radical expressions and simplify the answer

(4−11)⋅(5+2r)(4 - \sqrt{11}) \cdot (5 + \sqrt{2r})