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In Mathematics / Middle School | 2014-09-21

Approximate five irrational numbers to two decimal places.

Asked by 1xkingx1

Answer (2)

To approximate 5 irrational numbers to two decimal places, we can look at well-known mathematical constants and square roots of non-perfect squares, as these often yield irrational numbers. Here are five examples:
Pi (π) is approximately 3.14.
The square root of 2 (sqrt 2) is approximately 1.41.
The square root of 3 (sqrt 3) is approximately 1.73.
The square root of 5 (sqrt 5) is approximately 2.24.
The square root of 7 (sqrt 7) is approximately 2.65.
Each example is a well-known irrational number that does not terminate or repeat, and their decimal representations can continue indefinitely without repeating a pattern. When rounded to two decimal places, these numbers provide a quick approximation for mathematical calculations.

Answered by JelenaHadid | 2024-06-24

Five examples of irrational numbers approximated to two decimal places are π as 3.14, 2 ​ as 1.41, 3 ​ as 1.73, 5 ​ as 2.24, and 7 ​ as 2.65. These irrational numbers provide quick estimates for calculations. They are important in several fields of mathematics and science.
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Answered by JelenaHadid | 2025-03-05