Algebra Work Check
posted by Anonymous .
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

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 
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. 
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. 
Thanks!
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