# The Mystery Revealed: Finding the Square Root of 136

The square root of 136 has been a mystery to many for a long time. It is not an easy task to compute the square root of any number, and especially not one as complicated as 136. However, with some mathematical knowledge and a little bit of perseverance, anyone can find the solution to this enigma.

The first step in finding the square root of any number is to factor it. In the case of 136, we can see that it is divisible by 2, so we can write it as 2 * 68. Now, we need to look for other factors of 68. A quick calculation shows that 68 can be written as 2 * 2 * 17. So, we can write 136 as 2 * 2 * 17 * 1 * 1.

Once we have factored the number, we can use some algebraic manipulation to simplify the square root. The square root of 136 can be written as the square root of 2 * 2 * 17 * 1 * 1. Since the square root of each of these numbers can be calculated separately, we can write the overall square root as the product of the square roots of each of these numbers.

The square root of 2 is approximately 1.414, the square root of 17 is approximately 4.123, and the square root of 1 is simply 1. Multiplying these together, we get a final result of approximately 9.166.

So, there you have it – the mystery of finding the square root of 136 revealed. While it may seem daunting at first, breaking down the number into its factors and using algebraic manipulation makes the process relatively straightforward. With a little bit of practice, you will be able to calculate the square root of any number in no time!