Clearing the confusion of the area In the example 1:
They are finding the area as $8$ $\sqrt[2]{30}$. But, I am finding $8$ $\sqrt[2]{15}$.
I have done $\sqrt[2]{16\times5\times8\times3}$
Then,
Breaking it up,
$2\times2\times2\times\sqrt[2]{15}$
Please help me clear my confusion.


$16 = 2^4$
$8 = 2^3$
$\sqrt{(16)(8)(5)(3)} = \sqrt{(2^4)(2^3)(5)(3)} = \sqrt{(2^{3+4})(5)(3)} = \sqrt{(2^6)(2)(5)(3)}$
$= \sqrt{(8^2)(2)(5)(3)} = 8\sqrt{(2)(5)(3)} = 8 \sqrt{30}$ 
You honestly just took out an extra two. Happens to the best of us. 
 :)
