Answer:
(B)[tex]x^2=\frac{a}{b}[/tex]
Step-by-step explanation:
The given expression is:
[tex]\frac{\sqrt{a}}{\sqrt{b}}=x[/tex]
Now, the given options are:
(A) The given expression is:
[tex]\sqrt{x}=\frac{a}{b}[/tex]
which cannot be written as the given expression, thus this option is incorrect.
(B) The given expression is:
[tex]x^2=\frac{a}{b}[/tex]
Taking the square root of the above equation, we get
[tex]\frac{\sqrt{a}}{\sqrt{b}}=x[/tex]
which can be written as the given equation, therefore this option is correct.
(C) The given expression is:
[tex]x=\frac{a}{b}[/tex]
which cannot be written as the given expression, thus this option is incorrect.
(D) The given expression is:
[tex]|x|=\frac{a}{b}[/tex]
which cannot be written as the given expression, thus this option is incorrect.
