Answer:
(B)
![x^2=(a)/(b)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/1z1uuumksxn0gmy7bfqqtvj828vunmpbxr.png)
Explanation:
The given expression is:
![(√(a))/(√(b))=x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/c2x9fycywthjk26h6lui3lfzliu646s91z.png)
Now, the given options are:
(A) The given expression is:
![√(x)=(a)/(b)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/lpc4dyn6c4jf1hryewnxk8y70dim94rdmz.png)
which cannot be written as the given expression, thus this option is incorrect.
(B) The given expression is:
![x^2=(a)/(b)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/1z1uuumksxn0gmy7bfqqtvj828vunmpbxr.png)
Taking the square root of the above equation, we get
![(√(a))/(√(b))=x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/c2x9fycywthjk26h6lui3lfzliu646s91z.png)
which can be written as the given equation, therefore this option is correct.
(C) The given expression is:
![x=(a)/(b)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/g30pijesmdqeym0r54pahmkss9uvam9pvc.png)
which cannot be written as the given expression, thus this option is incorrect.
(D) The given expression is:
![|x|=(a)/(b)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/qz8xrn3p4gely12484e0k1llf4q8zdd2qk.png)
which cannot be written as the given expression, thus this option is incorrect.