Posted by Anonymous on Wednesday, April 23, 2014 at 2:36pm.
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, Wednesday, April 23, 2014 at 2:43pm
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, Wednesday, April 23, 2014 at 2:55pm
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, Wednesday, April 23, 2014 at 3:08pm
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, Wednesday, April 23, 2014 at 3:15pm
Thanks!
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