The value of √3 (the square root of 3) is approximately 1.732.
Here's a more detailed explanation:
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Understanding Square Roots: The square root of a number is a value that, when multiplied by itself, equals that number. In this case, we are looking for a number that, when multiplied by itself, equals 3.
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Irrational Number: √3 is an irrational number, which means it cannot be expressed as a simple fraction (a/b, where a and b are integers). Therefore, its decimal representation goes on forever without repeating.
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Approximation: While √3 is an irrational number with an infinite decimal expansion, 1.732 is a common and widely used approximation for its value. For most practical purposes, this level of accuracy is sufficient. More accurate representations can be calculated if needed, but for general use, 1.732 is sufficient.
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Why is it Important? The value of √3 frequently appears in geometry, trigonometry, and various mathematical and scientific calculations, particularly when dealing with equilateral triangles, 30-60-90 triangles, and three-dimensional space.
