From the uploaded image, Question 3 asks: "Select all of the following values that are perfect squares."

Step-by-step explanation:

A perfect square is a number that can be expressed as the square of an integer or a rational number (in the case of fractions). Let's analyze the options:

1. 64: $\sqrt{64} = 8$. Perfect square.
2. 7: $\sqrt{7} \approx 2.645$. Not a perfect square.
3. $\frac{2}{3}$: This is not the square of any rational number. Not a perfect square.
4. 36: $\sqrt{36} = 6$. Perfect square.
5. 1: $\sqrt{1} = 1$. Perfect square.
6. $\frac{1}{4}$: $\sqrt{\frac{1}{4}} = \frac{1}{2}$. Perfect square.
7. 40: $\sqrt{40} \approx 6.324$. Not a perfect square.
8. 16: $\sqrt{16} = 4$. Perfect square.

Final Answer:

The perfect squares are:

• 64
• 36
• 1
• $\frac{1}{4}$
• 16

Would you like a deeper breakdown of these concepts or help with Question 4?

Related Questions to Explore:

1. What are the properties of perfect squares?
2. How do you determine if a fraction is a perfect square?
3. Can negative numbers be perfect squares?
4. What is the difference between a perfect square and a perfect cube?
5. Why is $\frac{1}{4}$ considered a perfect square?

Tip:

When working with fractions, the numerator and denominator must both be perfect squares for the fraction to qualify as a perfect square!