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Short answer📘 8.NS.A.2🧠 DOK 2

Question:

Estimate the value of the square root of 50 and explain how you determined your estimate. Then, place it on a number line between two consecutive whole numbers.

✅ Answer:

The square root of 50 is approximately 7.07. To estimate, recognize that 49 is a perfect square, and its square root is 7. Since 50 is slightly more than 49, the square root of 50 will be slightly more than 7. On a number line, $\sqrt{50}$ is between 7 and 8, closer to 7.

💡 Explanation:

To estimate $\sqrt{50}$ , identify perfect squares near 50: 49 ( $7^2$ ) and 64 ( $8^2$ ).
Since 50 is closer to 49, $\sqrt{50}$ will be closer to 7.
Calculating further, $\sqrt{50} \approx 7.07$ by approximation methods or a calculator.

Standard: 8.NS.A.2 | DOK: 2

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