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If the floor area is 313 square meters, then the floor area is 313 square meters.
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.
square root of 20 = square root of 4 * square root of 5. square root of 4 = 2, so your answer is 2 square root of 5.
Square root (24) - square root (6) = 2.44948974