Question

Which statement must be true?

Answer 1

The correct answer is A

Answer 2

Answer:

(B)$x^2=\frac{a}{b}$

Step-by-step explanation:

The given expression is:

$\frac{\sqrt{a}}{\sqrt{b}}=x$

Now, the given options are:

(A) The given expression is:

$\sqrt{x}=\frac{a}{b}$

which cannot be written as the given expression, thus this option is incorrect.

(B) The given expression is:

$x^2=\frac{a}{b}$

Taking the square root of the above equation, we get

$\frac{\sqrt{a}}{\sqrt{b}}=x$

which can be written as the given equation, therefore this option is correct.

(C) The given expression is:

$x=\frac{a}{b}$

which cannot be written as the given expression, thus this option is incorrect.

(D) The given expression is:

$|x|=\frac{a}{b}$

which cannot be written as the given expression, thus this option is incorrect.