The square root of 119 is approximately 10.9087.
To understand why this is the case, let’s break it down. The square root of a number is a value that, when multiplied by itself, gives that number. Since 119 is not a perfect square (which means its square root is not a whole number), we find the square root using estimation or a calculator.
If we look for the perfect squares closest to 119, we can see that:
- 10 squared (10 x 10) = 100
- 11 squared (11 x 11) = 121
Since 119 falls between these two squares, it suggests that the square root will be between 10 and 11. Using a calculator or more advanced methods, we can pinpoint that the square root is approximately 10.9087.
This value is useful in various mathematical applications, including geometry and algebra, where understanding the properties of numbers is essential.