The square root of 166 is 12.88409873
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166
That is in its simplest form. You can't simplify sqrt(166) any more then it is. The decimal approximation can be found by (166)^1/2
a
There are infinitely many of them. They include square root of (4.41) square root of (4.42) square root of (4.43) square root of (4.44) square root of (4.45) square root of (5.3) square root of (5.762) square root of (6) square root of (6.1) square root of (6.2)
A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.