Final answer:
The exact, simplified expression of √18/16 is (3√2)/4. We simplified √18 to 3√2 and √16 to 4, then expressed the fraction in its simplest form.
Step-by-step explanation:
To simplify the expression √18/16, the square root and the fraction are simplified separately. Breaking down √18, it is expressed as √(9 × 2), which equals √9 × √2, resulting in 3√2. Simultaneously, the square root of 16 is straightforward, yielding 4. Combining these results, the expression becomes (3√2)/4. Further simplification isn't possible, leaving the final answer as (3√2)/4. This means that the square root of 18 over 16, after simplification, is represented by the fraction (3√2)/4, encapsulating the mathematical process of breaking down and rationalizing the expression.