Which of these choices are equivalent to 10 square root of 5 ? Select all that apply. A B C D E

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Which of these choices are equivalent to 10 square root of 5 ? Select all that apply. A B C D E

Answer 1

#Explanation To solve this problem, we need to use the properties of square roots. The square root of a product is equal to the product of the square roots, and the square root of a quotient is equal to the quotient of the square roots. This means that we can simplify each of the given expressions and see if they are equivalent to \(10\sqrt{5}\). Let's evaluate each option: 1. \(2\sqrt{250}\): We can simplify this as \(2\sqrt{25}\sqrt{10}\) = \(2*5\sqrt{10}\) = \(10\sqrt{10}\). This is not equivalent to \(10\sqrt{5}\). 2. \(5\sqrt{2}\sqrt{5}\): This simplifies to \(5\sqrt{10}\), which is not equivalent to \(10\sqrt{5}\). 3. \(5\sqrt{5}+5\sqrt{5}\): This simplifies to \(10\sqrt{5}\), which is equivalent to \(10\sqrt{5}\). 4. \(\sqrt{50}\sqrt{5}\): This simplifies to \(\sqrt{250}\) = \(5\sqrt{10}\), which is not equivalent to \(10\sqrt{5}\). 5. \(\sqrt{5}\sqrt{10}\sqrt{10}\): This simplifies to \(10\sqrt{5}\), which is equivalent to \(10\sqrt{5}\). #Answer C, E

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Which of these choices are equivalent to 10 square root of 5 ? Select all that apply. A B C D E

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