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Simplifying Dimensions for a Landscape Design Project
Imagine you are working as an assistant project manager for a commercial landscaping firm. Your team is preparing a layout plan for a square courtyard with an area of exactly 98 square yards. To determine the precise amount of fencing needed for one side, you write down the side length as yards.
Your supervisor asks you to explain the mathematical process for simplifying this value on the construction blueprint using the Product Property of Roots, so the field crew can easily read it.
In a brief essay, recall and explain the step-by-step process of simplifying the square root expression using the Product Property of Roots. Be sure to address the following in your explanation:
- Identify the largest factor in the radicand (98) that is a perfect square.
- Rewrite the radicand as a product of two factors under the radical, and then apply the product rule to split it into two separate radicals.
- State the final simplified form of the expression, and explain the standard rule for where the integer should be positioned in the final written form to avoid any confusion.
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Intermediate Algebra @ OpenStax
Ch.8 Roots and Radicals - Intermediate Algebra @ OpenStax
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Applying Radical Properties in Land Surveying
Simplifying Dimensions for a Landscape Design Project