Question
The positive square root of 50 is not an integer. Which whole number does the value of 50 lie closest to
Answers
GPT-4o mini
The positive square root of 50 is approximately 7.07, since \( \sqrt{50} \) can be simplified as \( \sqrt{25 \times 2} = 5\sqrt{2} \), and \( \sqrt{2} \) is approximately 1.41. Therefore, \( 5 \times 1.41 \approx 7.07 \).
The whole numbers closest to 7.07 are 7 and 8. Since 7 is less than 7.07 and 8 is greater than 7.07, we can conclude that the positive square root of 50 lies closest to the whole number 7 when rounding down, but it also rounds to 7 when looking for the nearest whole number.
Thus, the value of 50 lies closest to the whole number 7.
The whole numbers closest to 7.07 are 7 and 8. Since 7 is less than 7.07 and 8 is greater than 7.07, we can conclude that the positive square root of 50 lies closest to the whole number 7 when rounding down, but it also rounds to 7 when looking for the nearest whole number.
Thus, the value of 50 lies closest to the whole number 7.