In a real-world scenario, the length of a diagonal in a square with side length 5 units is ______ units. This length is an ______ number.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the Pythagorean theorem to find the length of a diagonal in a square and recognize that the result is an irrational number.
Key Concept Explanation
The length of the diagonal in a square with side length is given by the formula . For a square with side length 5 units, the diagonal is units. Since is irrational, is also irrational.
Step-by-step Solution
1. The question asks for the length of the diagonal in a square with side length 5 units.
2. Use the Pythagorean theorem:
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