Rosa, Roberto, Andrea, and Inno find an estimate for start root 10 end root. Who has proposed the best solution?
Rosa: “Use the square root of 9 and the square root of 25 to estimate.”
Roberto: “I will use the square root of 4 and the square root of 9.”
Andrea: “It should be the square root of 11 and the square root of 12.”
Inno: “Use the square root of 9 and the square root of 16 to find the estimate.”
Inno has proposed the best solution because using the square root of 9 and the square root of 16 will come closer to estimating the square root of 10 compared to the other options given.
To determine who proposed the best solution for estimating the square root of 10, let's find the closest approximations for each proposed solution:
Rosa suggests using the square root of 9 (which is 3) and the square root of 25 (which is 5) to estimate the square root of 10.
Roberto suggests using the square root of 4 (which is 2) and the square root of 9 (which is 3) to estimate the square root of 10.
Andrea suggests using the square root of 11 (which is approximately 3.316) and the square root of 12 (which is approximately 3.464) to estimate the square root of 10.
Inno suggests using the square root of 9 (which is 3) and the square root of 16 (which is 4) to estimate the square root of 10.
Comparing the approximations, we can see that Andrea's proposal, using the square root of 11 and the square root of 12, is the closest to the actual value. Therefore, Andrea has proposed the best solution for estimating the square root of 10.
To find the estimate for √10, we can compare the proposed solutions by Rosa, Roberto, Andrea, and Inno.
Rosa proposes using the square root of 9 (√9) and the square root of 25 (√25) to estimate √10.
Roberto suggests using the square root of 4 (√4) and the square root of 9 (√9).
Andrea thinks it should be the square root of 11 (√11) and the square root of 12 (√12).
Inno suggests using the square root of 9 (√9) and the square root of 16 (√16) to find the estimate.
To determine who proposed the best solution, we need to calculate the values of these square roots and see which one is closest to the actual value of √10.
- √9 ≈ 3
- √25 ≈ 5
- √4 ≈ 2
- √11 ≈ 3.316
- √12 ≈ 3.464
- √16 ≈ 4
We can see that the value of the square root of 9 (√9) is closest to the actual value of the square root of 10 (√10), which is approximately 3.162.
Therefore, Rosa's solution of using √9 and √25 provides the best estimate for √10.