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The image shows three mathematical expressions where a number is inside a square root and equated to different values. The task appears to be finding the missing numbers that should go under the square root to satisfy the given equations.

Here are the expressions:

1. \( \sqrt{\Box} = 1.9 \)
2. \( \sqrt{\Box} = 0.\overline{6} \) (This means the decimal 0.666... repeating)
3. \( \sqrt{\Box} = \frac{2}{5} \)

Let's solve each one step by step.

### (b) \( \sqrt{\Box} = 1.9 \)
To find the number under the square root, square both sides:
\[
\Box = (1.9)^2 = 3.61
\]
Thus, the missing number for (b) is \( 3.61 \).

### (c) \( \sqrt{\Box} = 0.\overline{6} \)
Again, squaring both sides:
\[
\Box = (0.\overline{6})^2 = \left(\frac{2}{3}\right)^2 = \frac{4}{9}
\]
So, the missing number for (c) is \( \frac{4}{9} \).

### (d) \( \sqrt{\Box} = \frac{2}{5} \)
Squaring both sides:
\[
\Box = \left(\frac{2}{5}\right)^2 = \frac{4}{25}
\]
Thus, the missing number for (d) is \( \frac{4}{25} \).

### Summary of results:
- (b) \( \Box = 3.61 \)
- (c) \( \Box = \frac{4}{9} \)
- (d) \( \Box = \frac{4}{25} \)

Would you like further clarification or details on any of these? Here are some related questions to explore:

1. What is the general method for solving square root equations?
2. Can negative numbers have real square roots?
3. How do you calculate square roots of fractions?
4. What are the properties of repeating decimals?
5. What is the relationship between squaring and taking square roots?

**Tip**: To solve square root equations, always square both sides and ensure the result is positive, as negative numbers do not have real square roots.

Solve for the missing values inside the square root for the following equations: 1) sqrt(□) = 1.9, 2) sqrt(□) = 0.(6), 3) sqrt(□) = 2/5.

Learn how to solve square root equations involving decimals and fractions. This step-by-step guide covers the basic principles of square roots, including equations like sqrt(x) = 1.9, sqrt(x) = 0.(6), and sqrt(x) = 2/5. Ideal for students in Grades 8-10.

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