Four students work to find an estimate for √37. Who is the closest to finding the true statement?
Rhonda: "Use √16 and √25 to estimate."
Ricardo: "I use √25 and √36." *****
Riley: "It should be between √36 and √49."
Rhiannon: Use √49 and √64 to estimate."
I believe the answer is Ricardo (B)
I disagree.
Both numbers are smaller than 37.
It must be Rhiannon then?
My answer is C, because one of the numbers are less than 37 and one is
greater. This gives a better estimate.
To find the closest estimate for √37, we can compare the given options and see which one is the closest.
Let's calculate the square roots mentioned by each student and see which one is closest to √37:
Rhonda: √16 ≈ 4, √25 ≈ 5
Ricardo: √25 ≈ 5, √36 ≈ 6 ***
Riley: √36 ≈ 6, √49 ≈ 7
Rhiannon: √49 ≈ 7, √64 ≈ 8
From the calculated square roots, we can see that Ricardo's estimate of using √25 and √36 is closest to √37.
Therefore, you are correct, Ricardo (B) is the student who is closest to finding the true value of √37.