Question

Simplify the expression √18/16
Enter the exact, simplified answer.

Answer 1

To simplify the expression √18/16, find the square root of 18 and 16 individually. Then, divide the square root of 18 by the square root of 16.

Step-by-step explanation:

To simplify the expression √18/16, we first find the square root of 18 and 16 individually. The square root of 18 is approximately 4.2426, and the square root of 16 is 4.

Now, we divide the square root of 18 by the square root of 16. 4.2426/4 = 1.0607. So, the simplified expression is 1.0607.

Answer 2

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.