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Radicals - Multiplying Monomials with Binomials (Values and Variables) (Level 4)

This math topic focuses on the practice of multiplying radical expressions involving monomials and binomials, coupled with variables and numerical values. Specifically, it covers various intricacies of simplifying radicals that result from multiplication, requiring integration of skills such as combining like terms, handling variable exponents appropriately, and executing arithmetic operations under radical signs. The problems advance through multiple examples to enhance proficiency with radical expressions involving square roots, cube roots, and their higher-order roots across different mathematical operations.

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

Multiplying Monomials with Binomials (Values and Variables)

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Multiply the radical expressions and simplify the answer

(2d3d−b2d)⋅2d213(2d\sqrt{3d} - b\sqrt{2d}) \cdot 2{d}^{2}\sqrt{13}