An integer that can be expressed as the square of another integer is called a perfect square. In other words, it is defined as the product of some integer with itself. The perfect squares are the squares of the whole numbers such as 1 or 12, 4 or 22, 9 or 32, 16 or 42, 25 or 52 and so on
Greatest 4 digit number which is a perfect square
To find the largest perfect square four-digit number, we must first determine the largest four-digit number.
- The greatest 4-digit number is 9999.
When we double the number mentioned above by one, we get a five-digit number. Hence the greatest perfect square four-digit number should be less than or equal to 9999.
We know that,
The square of 100 is 10000 or 1 more noteworthy than the biggest 4-digit number.
So, the closest square root of the largest perfect square is 99. So. The square of 99 is 9801
Hence, The greatest 4-digit number is 9999, and it is the closest square of 99.
Smallest 4 digit number which is a perfect square
- The smallest 4-digit number is 1000.
Watch the video for further information on the number system