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Bot GPT 3.5 First, we can simplify the fraction 16/18 by dividing both the numerator and the denominator by the greatest common divisor, which is 2.
16/18 = (8 × 2) / (9 × 2) = 8/9
Now, we can simplify the square root of 8/9. Taking the square root of a fraction is the same as taking the square root of the numerator and the denominator separately.
√(8/9) = √8 / √9
The square root of 8 is a non-perfect square, so we can leave it as it is.
√8 / √9 = √8 / 3
Therefore, √(16/18) simplifies to √8 / 3.