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Simplify the following radical expression. \( \sqrt{20} \) A. \( 2 \sqrt{5} \) B. \( 5 \sqrt{2} \) C. \( 4 \sqrt{5} \) D. \( 10 \sqrt{5} \)

Ask by Joseph Whittaker. in the United States
Mar 09,2025

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The simplified form of \( \sqrt{20} \) is \( 2\sqrt{5} \).

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To simplify \( \sqrt{20} \), we can factor it into \( \sqrt{4 \times 5} \). Since \( \sqrt{4} \) is 2, we can pull that out of the square root and get \( 2\sqrt{5} \). Thus, the correct answer is A. \( 2 \sqrt{5} \). Additionally, understanding square roots is key! They represent a number that, when multiplied by itself, equals the original number. Simplifying involves breaking down numbers into their prime factors, leading to simpler expressions. Finally, practice makes perfect! When working with radicals, always look for perfect squares within the number you're simplifying. This can help you avoid common mistakes, such as leaving a factor inside the root that could have been simplified.

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