Here are the essential concepts you must grasp in order to answer the question correctly.
Radical Expressions
Radical expressions involve roots, such as square roots, cube roots, etc. In this context, √50xy represents the square root of the product of 50, x, and y. Understanding how to manipulate these expressions, including simplifying them by factoring out perfect squares, is essential for solving the problem.
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Simplifying Radicals
Simplifying radicals involves rewriting a radical expression in its simplest form. This includes breaking down the radicand (the number or expression inside the root) into its prime factors and identifying perfect squares. For example, √50 can be simplified to 5√2, which is crucial for further calculations in the division.
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Dividing Radicals
Dividing radicals requires applying the property that states √a / √b = √(a/b). This means that when dividing two radical expressions, you can combine them under a single radical. In this exercise, dividing √50xy by 2√2 involves simplifying the expression under the radical and ensuring that the final answer is in its simplest form.
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