Answer:
C) 36/16 sqrt
Explanation:
![√(6)=2.44948974...](https://img.qammunity.org/2021/formulas/mathematics/high-school/co6rnoqgbzr08kh3ytivf2veiuf396uuun.png)
The square root of 6 simplifies to a non-terminating number. It is not rational.
![\sqrt{(36)/(6) } =√(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qgg2lrkqtnq00idzg3st1jitlstx5kto9k.png)
The square root of 6 is not rational, and the square root of 36/6 is equivalent to that.
![\sqrt{(36)/(16) } =1.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/iztyygmv3gxuw2xym3blwr1z6qabj9ragy.png)
Option C is rational.
1.5 can be simplified to 1 1/2 or 3/2.
Hope this helps.