Add all the perfect squares between 10 to 60

To find the sum of all perfect squares between 10 and 60, we first need to identify the perfect squares within that range.

A **perfect square** is a number that is the square of an integer.

1. The smallest integer whose square is greater than 10 is \(4\), since \(4^2 = 16\).
2. The largest integer whose square is less than 60 is \(7\), since \(7^2 = 49\).

Now, the perfect squares between 10 and 60 are:
\[
16 = 4^2, \quad 25 = 5^2, \quad 36 = 6^2, \quad 49 = 7^2
\]

Next, we sum these values:
\[
16 + 25 + 36 + 49 = 126
\]

So, the sum of all perfect squares between 10 and 60 is **126**.

Would you like any further details or have questions?

Here are 5 related questions you might explore:
1. What are the perfect squares between 100 and 500?
2. How many perfect squares are there between 1 and 100?
3. How do you determine if a number is a perfect square?
4. What is the sum of the squares of the first 10 integers?
5. Can you find perfect cubes between 10 and 100?

**Tip:** Perfect squares grow quadratically, so the gaps between consecutive squares increase as numbers get larger.

Add all the perfect squares between 10 to 60.

Learn how to find the sum of perfect squares between 10 and 60, including numbers such as 16, 25, 36, and 49. This step-by-step solution breaks down the process and is suitable for students in Grades 6-8.

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