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The expression shown is:

\[
\sqrt{\frac{100}{0.25}}
\]

To solve this:

1. First, simplify the fraction \(\frac{100}{0.25}\). This is equivalent to multiplying by the reciprocal:

\[
\frac{100}{0.25} = 100 \times 4 = 400
\]

2. Now, take the square root of 400:

\[
\sqrt{400} = 20
\]

Thus, the value of the expression is:

\[
20
\]

Would you like a deeper breakdown or have any specific questions? Here are five related questions you might be interested in:

1. How do you calculate square roots of non-perfect squares?
2. What is the general rule for dividing by decimals?
3. Can you explain simplifying radicals further?
4. How would you solve \(\sqrt{\frac{a}{b}}\) for any general numbers \(a\) and \(b\)?
5. How does the square root of a fraction work in more complex cases?

**Tip:** When dividing by decimals, it often helps to convert the divisor to a whole number by multiplying both the numerator and denominator by the same power of 10.

Learn how to solve the expression √(100 / 0.25) by first simplifying the fraction and then taking the square root. This step-by-step solution covers key concepts in algebra, fractions, and square roots, making it ideal for students in Grades 6-8.

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