Is 1290 a perfect square? This question often arises when people encounter numbers in their daily lives or while solving mathematical problems. In this article, we will explore the concept of perfect squares and determine whether 1290 fits into this category.
A perfect square is a number that can be expressed as the product of an integer with itself. For example, 4 is a perfect square because it can be written as 2 multiplied by 2 (2^2). Similarly, 9 is a perfect square because it is 3 multiplied by 3 (3^2). In general, if a number can be expressed as n^2, where n is an integer, then it is a perfect square.
To determine if 1290 is a perfect square, we need to find an integer n such that n^2 equals 1290. One way to do this is by taking the square root of 1290 and checking if the result is an integer. The square root of 1290 is approximately 35.77. Since 35.77 is not an integer, we can conclude that 1290 is not a perfect square.
Another approach is to list the perfect squares up to 1290 and see if any of them match the given number. The perfect squares less than 1290 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961, and 1024. None of these perfect squares equal 1290, further confirming that it is not a perfect square.
In conclusion, 1290 is not a perfect square. Understanding the concept of perfect squares and how to identify them can be helpful in various mathematical contexts, such as simplifying expressions, solving equations, and exploring number properties.
