The square root of (any number that isn't a perfect square) is irrational.
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There is no square root of -75. If it's 75, that is 5 square root 3.
√75 + √147 = 20.7846097
8 and 9. 8 squared is 64. 9 squared is 81. 64 < 75 < 81, hence the square root of 75 is somewhere between 8 and 9.
The square root of 75 lies between 8 and 9.
sq. root of 75 = sq. root of (25 x 3) = (sq. root of 25)(sq. root of 3) = 5(sq. root of 3)