Walter is using the iterative process to determine that 13−−√

Question

is between 3.61 and 3.62. Analyze Walter's estimation. Is he correct? If not, what mistake did he make?(1 point)
Responses

Yes, Walter is correct.
Yes, Walter is correct.

No, both 3.612
and 3.622
are greater than 13.
No, both 3 point 6 1 squared and 3 point 6 2 squared are greater than 13.

No, 3.612
is less than 13.
No, 3 point 6 1 squared is less than 13.

No, both 3.612
and 3.622
are less than 13.
No, both 3 point 6 1 squared and 3 point 6 2 squared are less than 13.

Answer 1

To determine if Walter's estimation that \( \sqrt{13} \) is between 3.61 and 3.62 is correct, we first need to calculate the squares of 3.61 and 3.62:

1. Calculate \( 3.61^2 \): \[ 3.61^2 = 12.9921 \]

2. Calculate \( 3.62^2 \): \[ 3.62^2 = 13.0644 \]

Now, we compare these values to 13:

• \( 3.61^2 = 12.9921 \) (which is less than 13)
• \( 3.62^2 = 13.0644 \) (which is greater than 13)

This means that \( \sqrt{13} \) indeed lies between 3.61 and 3.62.

Thus, Walter is correct in his estimation.

The correct response is: Yes, Walter is correct.