There is no square root of negative 8, negative numbers can never be square rooted since no two of the same number can go into a negative number, for example 16's square root is 4 and -4 since 4x4=16 and -4x-4=16, but -16 doesn't have a square root since -4 just turns into a positive when multiplied to itself.
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The square root of 8 is 2 sqrt 2, an irrational number. In decimal form it is 2.828427124746190097603377448419...