Question

If radical a / radical b = x, which statement must be true? a) x^2 = a/b b) radical x = a/b c) |x| a/b d) x = a/b

Answer 1

\[\Large \frac{\sqrt{a}}{\sqrt{b}} = x\]

right?

Answer 2

Yes!

Answer 3

We have square roots on the left side. So one natural thing to do is to square both sides to get rid of them.
\[\Large \frac{\sqrt{a}}{\sqrt{b}} = x\]
\[\Large \left(\frac{\sqrt{a}}{\sqrt{b}}\right)^2 = x^2\]
\[\Large \frac{(\sqrt{a})^2}{(\sqrt{b})^2} = x^2\]
\[\Large \frac{a}{b} = x^2\]
\[\Large x^2 = \frac{a}{b}\]

Answer 4

I literally just got what the question was asking me after five times of seeing it. Thank you so, so, so much. :)

Answer 5

you're welcome and keep practicing