Posted by Anonymous on .
1. 5√6 * 1/6√216
5/6 * √1296
5/6 * √144 * √9
= 30
2. 9√28a^2 * 1/3√63a
3√1764a^3
3√49a^2 * √36a
3*7a*6√a
= 126a√a

Algebra Work Check 
Steve,
5√6 * 1/(6√216)
5√6 * 1/(6*6√6)
5/36
If you meant
9√(28a^2) * 1/(3√(63a))
9(2a√7) * 1/(3*3√(7a))
18a√7 / 9√7√a
= 2√a 
Algebra Work Check 
Anonymous,
The problems are 5√6 * (1/6)√216 and 9√28a^2 * (1/3)√63a.
Actually, I checked my final answers, but I just wanted to make sure that my process is correct. 
Algebra Work Check 
Steve,
In that case, you are correct.
The expressions are complicated enough that if you came up with the correct answers, your process was likely correct. 
Algebra Work Check 
Anonymous,
Thanks!