The square root of 117 is approximately 10.8167.
To understand why, it’s important to know that the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, since 117 isn’t a perfect square, we look for two numbers that, when multiplied, are close to 117. We can estimate the square root by finding the perfect squares around 117. The perfect squares close to 117 are 100 (10 x 10) and 121 (11 x 11). Therefore, the square root of 117 must fall between 10 and 11.
Using a calculator or an estimation method, we can find that the square root is approximately 10.8167.