Bunuel
Is rst = 1 ?
(1) \(r\sqrt{t} =\frac{s\sqrt{t}}{s}\)
(2) \(\frac{rt}{\sqrt{t}}=\frac{\sqrt{t}}{st}\)
As this looks to be a very technical question (with many equations), we'll just solve it.
This is a Precise approach.
(1) We can cancel out \(s\) from the right-hand side giving \(r\sqrt{t} =\sqrt{t}\)
As we don't know if \(t = 0\) or not, we can't cancel it out but we can rewrite as \(r\sqrt{t} -\sqrt{t}=0\)
This simplifies to \(\sqrt{t}(r-1)=0\) meaning that \(t = 0\) or \(r = 1\).
Insufficient!
(2) Since both \(s\) and \(t\) are in the denominator, they can't be equal to 0 so we can multiply by them.
Multiplying by \(s\) and by \(\sqrt{t}\) gives \(rst = \frac{t}{t}=1\)
Sufficient!
(B) is our answer.
"2) Since both ss and tt are in the denominator, they can't be equal to 0 so we can multiply by them.
Sufficient!" I'm not seeing it, thanks.