<p>If (18)(root18) = (r)(root t) and r and t are positive integers and r > t, which of the following could be the value of rt?</p>
<p>a.18 b. 36 c. 108 d. 162 e. 324</p>
<p>The answer is C but I want to know how to figure it out. </p>
<p>thanks</p>
<p>Simplify sqrt(18) into 3<em>sqrt(2). Put it back into the original expression, such that (18)</em>[3<em>sqrt(2)]=54</em>sqrt(2). Thus, r=54 and t=2. rt, or 54*2=108.</p>