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Radicals - Square - Simplifying from Factors, Values and Variables, Radical Remaining (Level 1)

This topic covers simplifying square roots involving factors, values, and variables, with a radical remaining. Problems require extracting and simplifying square roots from algebraic expressions. The questions present multiple-choice answers, focusing on simplification techniques such as factoring out perfect squares and handling variables within the radical. This emphasizes foundational skills in manipulating radicals, which is crucial for higher-level algebra.

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Square - Simplifying from Factors, Values and Variables, Radical Remaining

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Simplify the radical

2â‹…2â‹…2â‹…râ‹…r\sqrt{2\cdot 2\cdot 2\cdot r\cdot r}