Question

If √a/√b=x, which statement must be true? A. x^2=a/b B. √x=a/b C. |x|=a/b D. x=a/b

Answer 1

The correct answer is a

Answer 2

Answer:

x^2 = a/b

Step-by-step explanation:

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

If we have square root at the top and bottom then we take single square root with fraction inside

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

To remove square root we take square on both sides because square and square root will get cancelled

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

x^2 = a/b is true