Using rational approximations, what statement is true?
√12 < Π
√12 > Π
√16 < 4
√16 > 4
3 answers
√12 > Π
can i have an explanation?
Sure!
To determine the correct statement, we need to compare the values of √12 and Π (pi). We can approximate √12 and Π using rational approximations to make the comparison easier.
For √12, we can approximate it using the fact that √9 = 3 and √16 = 4. Since 12 is between 9 and 16, we can estimate that √12 is between 3 and 4.
Next, let's approximate Π. We can use the rational approximation of Π as 3.14 or 22/7 to make the comparison easier.
Since 3 < 3.14 and 4 > 3.14, we can conclude that √12 > Π. Therefore, the correct statement is √12 > Π.
To determine the correct statement, we need to compare the values of √12 and Π (pi). We can approximate √12 and Π using rational approximations to make the comparison easier.
For √12, we can approximate it using the fact that √9 = 3 and √16 = 4. Since 12 is between 9 and 16, we can estimate that √12 is between 3 and 4.
Next, let's approximate Π. We can use the rational approximation of Π as 3.14 or 22/7 to make the comparison easier.
Since 3 < 3.14 and 4 > 3.14, we can conclude that √12 > Π. Therefore, the correct statement is √12 > Π.
1 answer