The square root of 242 is approximately 15.5563. To find the square root, you can use a calculator or look for the number that, when multiplied by itself, gives you 242.
To break it down, 242 can be factored into its prime components: 2 x 121, and since 121 is a perfect square (11 x 11), we can simplify the square root as follows:
√242 = √(2 x 121) = √2 x √121 = √2 x 11.
Since √2 is approximately 1.414, multiplying that by 11 gives us about 15.554, which rounds to 15.5563 when calculated precisely. This result shows how square roots can yield both whole numbers and decimals, depending on whether the original number is a perfect square.