Final answer:
To simplify √65/121, the numerator cannot be simplified further, but the denominator can be simplified to 11. For √25/36, both the numerator and denominator can be simplified to 5/6.
Step-by-step explanation:
To simplify the expression, we can first simplify the numerator and denominator separately. For the expression √65/121, the square root of 65 is not a perfect square, so we cannot simplify it further. However, the square root of 121 is 11, so we can simplify the denominator to 11. Therefore, the simplified expression is √65/11.
For the expression √25/36, the square root of 25 is 5, and the square root of 36 is 6. So we can simplify the numerator and denominator to 5/6. Therefore, the simplified expression is 5/6.