Which value is closest to √50?

Which value is closest to √50?

• A. 7.1
• B. 6.9
• C. 6.5
• D. 7.6

Answer: (A)

To find which value is closest to √50, it is useful to first estimate the square root. Since that value is between two perfect squares, specifically 49 (which is 7 squared) and 64 (which is 8 squared), we can safely say that √50 is slightly more than 7 but less than 8. Calculating a rough decimal, we can recognize that √50 simplifies to √(25 × 2), which equals 5√2. The approximate value of √2 is about 1.41, so multiplying gives us 5 × 1.41 = approximately 7.05. This estimation suggests that √50 is indeed very close to 7.1. When looking at the choices, 7.1 is the nearest whole number estimate to our calculated value of about 7.05. The other choices, such as 6.9, 6.5, and 7.6, either fall below or significantly above this estimate, making them less accurate representations of √50. Thus, 7.1 is the best approximation for √50 based on our calculations and understanding of square roots.

To find which value is closest to √50, it is useful to first estimate the square root. Since that value is between two perfect squares, specifically 49 (which is 7 squared) and 64 (which is 8 squared), we can safely say that √50 is slightly more than 7 but less than 8.

Calculating a rough decimal, we can recognize that √50 simplifies to √(25 × 2), which equals 5√2. The approximate value of √2 is about 1.41, so multiplying gives us 5 × 1.41 = approximately 7.05. This estimation suggests that √50 is indeed very close to 7.1.

When looking at the choices, 7.1 is the nearest whole number estimate to our calculated value of about 7.05. The other choices, such as 6.9, 6.5, and 7.6, either fall below or significantly above this estimate, making them less accurate representations of √50.

Thus, 7.1 is the best approximation for √50 based on our calculations and understanding of square roots.