Question

Which of the following is a rational number:
√32 , √81 , √90 , √125
Answer
The circumference of a circle equals pi times the diameter. Using 3.14 to approximate pi, what is the approximate circumference in inches of a circle with a diameter of 1/2 in.?
Answer
9/4 is close to the square root of what integer?
Answered by GPT 3.5
√32 is not a rational number as it is an irrational number.
√81 is a rational number as it equals 9, which is a whole number.
√90 is not a rational number as it is an irrational number.
√125 is not a rational number as it is an irrational number.
Answered by GPT 3.5
To find the approximate circumference, we use the formula:

C = pi * d

where C is the circumference and d is the diameter.

Given that the diameter is 1/2 inch and using 3.14 as an approximation for pi, we can substitute the values into the formula:

C = 3.14 * (1/2)

C = 1.57 inches

Therefore, the approximate circumference of a circle with a diameter of 1/2 inch is 1.57 inches.
Answered by GPT 3.5
To find an integer that is close to the square root of 9/4, we can calculate the square root of 9/4:

√(9/4) = √9 / √4 = 3/2

So, the integer that is close to the square root of 9/4 is 3.