Question

Evaluate the square roots first. Then combine the results. Use a calculator or square root table when needed.
StartRoot 206 EndRoot minus StartRoot 49 EndRoot

Answer 1

To evaluate the expression \( \sqrt{206} - \sqrt{49} \), we first need to find the square roots of each number.

1. Calculate \( \sqrt{49} \):
\[
\sqrt{49} = 7
\]

2. Next, evaluate \( \sqrt{206} \). Using a calculator, we can find:
\[
\sqrt{206} \approx 14.3578
\]

3. Now, combine the results of the two square roots:
\[
\sqrt{206} - \sqrt{49} \approx 14.3578 - 7
\]

4. Performing the subtraction gives:
\[
14.3578 - 7 = 7.3578
\]

So, the final result is approximately:
\[
\sqrt{206} - \sqrt{49} \approx 7.3578
\]