What is the approximate value of √2?

What is the approximate value of √2?

• A. 1.40
• B. 1.41
• C. 1.42
• D. 1.43

Answer: (B)

The approximate value of √2, which represents the square root of 2, is a well-known mathematical constant. When calculating or estimating the square root of 2, it is recognized to be roughly equivalent to 1.414. Among the choices provided, the value of 1.41 is the closest approximation to this number. This makes it the correct answer for estimating √2 effectively. In practical terms, √2 is significant because it is the length of the diagonal of a square with sides of length 1, illustrating its relevance in geometry and real-world applications. Understanding this value is also key for calculations involving Pythagorean theorem and various areas in algebra and geometry.

The approximate value of √2, which represents the square root of 2, is a well-known mathematical constant. When calculating or estimating the square root of 2, it is recognized to be roughly equivalent to 1.414. Among the choices provided, the value of 1.41 is the closest approximation to this number. This makes it the correct answer for estimating √2 effectively.

In practical terms, √2 is significant because it is the length of the diagonal of a square with sides of length 1, illustrating its relevance in geometry and real-world applications. Understanding this value is also key for calculations involving Pythagorean theorem and various areas in algebra and geometry.