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Radicals - Square - Simplify From Squared Factors, Values and Variables, Radical Remaining (Level 1)

This math topic focuses on simplifying radicals that contain squared factors, numerical values, and variables while leaving some radicals remaining. It involves practicing skills on extracting and simplifying square roots from expressions with squared terms and variables, distinguishing simplified radical forms, and correctly applying basic algebraic rules to reduce complex radical expressions. These problems enhance understanding of manipulating terms under the square root and applying exponent rules to simplify expressions, which are crucial skills in algebra. Each question offers multiple answer choices for students to verify the correctness of their simplification process.

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Square - Simplify From Squared Factors, Values and Variables, Radical Remaining

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Simplify the radical

52â‹…7â‹…z2â‹…zâ‹…\sqrt{5^2\cdot 7\cdot z^2\cdot z\cdot }