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Final answer:To fully simplify 7√40, we need to simplify the square root and then perform multiplication with the coefficient.Explanation:The expression 7√40 can be simplified as follows:First, simplify the square root of 40. Since 40 is a perfect square, we can break it down into its prime factors: 2 * 2 * 10. Taking out the pairs of 2 from inside the square root, we are left with 2√10.Next, multiply the coefficient (7) by the simplified square root (2√10) to get the final simplified expression: 7 * 2√10 = 14√10.Therefore, the fully simplified expression 7√40 is equal to 14√10.Learn more about Simplifying square roots here:brainly.com/question/13446308...