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Radicals - Square - Simplify From Squared Factors, Values only, Radical Remaining (Level 3)

This math topic focuses on simplifying radicals, particularly extracting and simplifying square roots when squared factors are involved. The problems require identifying the perfect square factors within a radical and simplifying them to their integer values, while keeping any remaining non-square factors under the radical sign. This involves practicing extracting squares from expressions and understanding how to express the simplified result while still incorporating any leftover components from the original radical. The exercise is part of an introductory unit on simplifying radicals, providing foundational skills in dealing with radical expressions.

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

Square - Simplify From Squared Factors, Values only, Radical Remaining

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Simplify the radical

2â‹…52\sqrt{2\cdot 5^2}