https://file.aiquickdraw.com/mathbot/file/1728513213471whp9bs9z.jpg

The expression provided in the image is:

\[
\sqrt{\frac{1}{4} \times (2 + 98)}
\]

Let's evaluate the expression step-by-step.

### Step 1: Evaluate the expression inside the parentheses
\[
2 + 98 = 100
\]

### Step 2: Substitute the value into the expression
\[
\sqrt{\frac{1}{4} \times 100}
\]

### Step 3: Multiply the fraction by 100
\[
\frac{1}{4} \times 100 = 25
\]

### Step 4: Find the square root of 25
\[
\sqrt{25} = 5
\]

So, the final answer is:
\[
5.000
\]
rounded to four significant digits.

Would you like more details or have any questions about this solution?

Here are 5 related questions to expand your understanding:
1. What is the significance of significant digits in rounding?
2. How do you handle square roots of non-perfect squares?
3. What are the rules for order of operations when evaluating expressions?
4. How does multiplying by fractions affect the value of an expression?
5. How can you simplify square roots involving fractions?

**Tip:** When working with expressions inside square roots, always simplify the values as much as possible before finding the square root.

Evaluate the expression, rounding your answer to four significant digits where necessary.

Learn how to evaluate an expression involving square roots, fractions, and rounding to four significant digits. This problem covers key arithmetic concepts and the proper order of operations. Suitable for students in Grades 5-7.

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