Math / Numbers & Operations

QuestionUse a calculator to approximate the square root. Check to see that the approximation is reasonable. $\sqrt{72}$ $\sqrt{72} \approx$ $\square$ (Round to the nearest thousandth as needed.)

Studdy Solution

STEP 1

1. We need to approximate the square root of $72$ .
2. The approximation should be rounded to the nearest thousandth.

STEP 2

1. Use a calculator to find the square root.
2. Round the result to the nearest thousandth.
3. Verify the approximation is reasonable.

STEP 3

Use a calculator to find $\sqrt{72}$ .

STEP 4

The calculator gives $\sqrt{72} \approx 8.485281374$ .

STEP 5

Round $8.485281374$ to the nearest thousandth.
$8.485281374 \approx 8.485$

STEP 6

Verify the approximation by squaring $8.485$ to check if it is close to $72$ .
$8.485^2 \approx 71.995225$
Since $71.995225$ is close to $72$ , the approximation is reasonable.
The approximation of $\sqrt{72}$ rounded to the nearest thousandth is:
$\boxed{8.485}$

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QuestionUse a calculator to approximate the square root. Check to see that the approximation is reasonable. $\sqrt{72}$ $\sqrt{72} \approx$ $\square$ (Round to the nearest thousandth as needed.)

Studdy Solution

STEP 1

1. We need to approximate the square root of $72$ .
2. The approximation should be rounded to the nearest thousandth.

STEP 2

1. Use a calculator to find the square root.
2. Round the result to the nearest thousandth.
3. Verify the approximation is reasonable.

STEP 3

Use a calculator to find $\sqrt{72}$ .

STEP 4

The calculator gives $\sqrt{72} \approx 8.485281374$ .

STEP 5

Round $8.485281374$ to the nearest thousandth.
$8.485281374 \approx 8.485$

STEP 6

Verify the approximation by squaring $8.485$ to check if it is close to $72$ .
$8.485^2 \approx 71.995225$
Since $71.995225$ is close to $72$ , the approximation is reasonable.
The approximation of $\sqrt{72}$ rounded to the nearest thousandth is:
$\boxed{8.485}$

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QuestionUse a calculator to approximate the square root. Check to see that the approximation is reasonable. 72\sqrt{72}72​ 72≈\sqrt{72} \approx72​≈ □\square□ (Round to the nearest thousandth as needed.)

Studdy Solution

STEP 1

1. We need to approximate the square root of 72 72 72.2. The approximation should be rounded to the nearest thousandth.

STEP 2

1. Use a calculator to find the square root.2. Round the result to the nearest thousandth.3. Verify the approximation is reasonable.

STEP 3

Use a calculator to find 72 \sqrt{72} 72​.

STEP 4

The calculator gives 72≈8.485281374 \sqrt{72} \approx 8.485281374 72​≈8.485281374.

STEP 5

Round 8.485281374 8.485281374 8.485281374 to the nearest thousandth.8.485281374≈8.485 8.485281374 \approx 8.485 8.485281374≈8.485

STEP 6

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionUse a calculator to approximate the square root. Check to see that the approximation is reasonable. $\sqrt{72}$ $\sqrt{72} \approx$ $\square$ (Round to the nearest thousandth as needed.)

1. We need to approximate the square root of $72$ .
2. The approximation should be rounded to the nearest thousandth.

1. Use a calculator to find the square root.
2. Round the result to the nearest thousandth.
3. Verify the approximation is reasonable.

Use a calculator to find $\sqrt{72}$ .

The calculator gives $\sqrt{72} \approx 8.485281374$ .

Round $8.485281374$ to the nearest thousandth.
$8.485281374 \approx 8.485$