√75 = √(25 x 3)
= √25 x √3
= 5 √3
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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
If the number under the radical sign has a factor which is a square number greater than 1, then the square root of that number can be taken outside the radical.For example,sqrt(75) = sqrt(25*3) = sqrt(25)*sqrt(3) = 5*sqrt(3).
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 (any number that isn't a perfect square) is irrational.