Finding the Greatest Perfect Square of 47
The question "What's the greatest perfect square of 47?" might seem tricky at first, but it's actually quite straightforward. Let's break it down:
Understanding Perfect Squares
A perfect square is a number that results from squaring an integer (multiplying an integer by itself). For example:
- 1 is a perfect square because 1 x 1 = 1
- 4 is a perfect square because 2 x 2 = 4
- 9 is a perfect square because 3 x 3 = 9
Finding the Greatest Perfect Square Less than 47
To find the greatest perfect square less than 47, we need to think about the squares of integers:
- 1² = 1
- 2² = 4
- 3² = 9
- 4² = 16
- 5² = 25
- 6² = 36
- 7² = 49
Notice that 49 is greater than 47. The greatest perfect square less than 47 is 36.
Key Takeaway
The greatest perfect square of 47 is 36 because it is the largest perfect square smaller than 47.