The smallest perfect square which is divisible by 4 and 5 is 300 true or false 

False.

To find the smallest perfect square divisible by both 4 and 5, we need to consider the least common multiple (LCM) of 4 and 5, and then find the smallest perfect square that is a multiple of that LCM.

1. The LCM of 4 and 5 is 20.
2. The smallest perfect square that is a multiple of 20 is \(20 \times 20 = 400\).

So, the smallest perfect square divisible by both 4 and 5 is 400, not 300.

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Here are five related questions:
1. What is the definition of a perfect square?
2. How do you calculate the least common multiple (LCM) of two numbers?
3. What is the smallest perfect square divisible by both 3 and 7?
4. How can you verify if a number is divisible by both 4 and 5?
5. Can a perfect square ever be an odd number?

**Tip:** When finding the smallest perfect square divisible by multiple numbers, focus on finding the LCM first and then check if that LCM can be squared.

Explore how to find the smallest perfect square divisible by both 4 and 5 with a step-by-step mathematical solution. Understand the concept of perfect squares, calculate the LCM of two numbers, and apply these concepts to solve the problem effectively. Suitable for students in Grades 7-9.

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