1.Why is Yasmine's work incorrect? Explain your reasoning below. 2. Simplify 2√(7+√8). Show your work? **Problem: Simplify** Simplify \(\sqrt{2} \, (7 + \sqrt{8})\). Show your work.**Solution:**To simplify the expression \(\sqrt{2} \, (7 + \sqrt{8})\), we need to use the distributive property.1. **Distribute \(\sqrt{2}\):** \(\sqrt{2} \times 7 + \sqrt{2} \times \sqrt{8}\) - For the first term: \(\sqrt{2} \times 7 = 7\sqrt{2}\) - For the second term: \(\sqrt{2} \times \sqrt{8} = \sqrt{16}\)2. **Simplify \(\sqrt{16}\):** \(\sqrt{16} = 4\)3. **Final Expression:** Combine the terms to get the simplified expression: \(7\sqrt{2} + 4\)**Conclusion:**The simplified form of the expression \(\sqrt{2} \, (7 + \sqrt{8})\) is \(7\sqrt{2} + 4\). **Yasmine's Work:**\[\sqrt{56a^3b}\]\[\sqrt{(2^3)(7)(a^3)(b)}\]\[2a\sqrt{7b}\]**Explanation:**Yasmine is simplifying the expression \(\sqrt{56a^3b}\).1. **Prime Factorization:** She starts by breaking down 56 into its prime factors: \(2^3 \times 7\).2. **Expression Breakdown:** She expresses \(56a^3b\) as \((2^3)(7)(a^3)(b)\) under the square root.3. **Simplification:** Yasmine simplifies this to \(2a\sqrt{7b}\) by taking out perfect squares from under the square root.

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Answered: 1.Why is Yasmine's work incorrect?…

1.Why is Yasmine's work incorrect? Explain your reasoning below. 2. Simplify 2√(7+√8). Show your work

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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