If the root is not an integer, there is no easy way to find the square root (apart from using a calculator):
Let's say I was asked what root 59 is.
I know that 7^2 = 49 and 8^2 = 64. Therefore, the root must lay somewhere between 7 and 8.
Next, we try 7.5^2 = 56.25. This is lower than 59, so root 59 must be in between 7.5 and 8.
We can continue this method further to gain a more precise result.
Hope this makes sense!
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