Question 1 of 5: Simplify, assume all variables represent positive real numbers.
Select the Correct Answer: Correct! 
Not Correct! 
Not Correct! A
$$\sqrt{5}+\sqrt{6}$$
B
$$-6\sqrt{5}+5\sqrt{6}$$
C
$$-2\sqrt{3}+7\sqrt{10}$$
D
$$6\sqrt{5}-7\sqrt{10}$$
E
$$2\sqrt{3}+5\sqrt{6}$$
Question 2 of 5: Simplify, assume all variables represent positive real numbers.
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
$$-5+\sqrt{15}$$
B
$$-15-12\sqrt{30}$$
C
$$-15+12\sqrt{6}$$
D
$$\sqrt{5}+1$$
E
$$\sqrt{5}-\sqrt{6}$$
Question 3 of 5: Simplify, assume all variables represent positive real numbers.
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
$$\sqrt{3}$$
B
$$15+20\sqrt{3}$$
C
$$9+3\sqrt{3}$$
D
$$23+9\sqrt{3}$$
E
$$29$$
Question 4 of 5: Simplify, assume all variables represent positive real numbers.
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
$$\frac{x^5+x^2\sqrt{x}}{4x^5-1}$$
B
$$\frac{10x^5-2x^2\sqrt{3x}}{4x^5-1}$$
C
$$\frac{2x^5-15x^2\sqrt{3}}{16x^5-3}$$
D
$$\frac{5x^5+25x^2\sqrt{x}}{2x^5+1}$$
E
$$\frac{20x^5+5x^2\sqrt{3x}}{16x^5-3}$$
Question 5 of 5: Simplify, assume all variables represent positive real numbers.
Select the Correct Answer: Correct! Not Correct!
Not Correct! A
$$\frac{5\sqrt{2}-6-n\sqrt{2}}{-4}$$
B
$$\frac{5\sqrt{2n}-6+n\sqrt{2n}}{8+n}$$
C
$$\frac{-2\sqrt{n}+5-n\sqrt{n}}{16n^2}$$
D
$$\frac{-2\sqrt{2n}+5n-2n\sqrt{n}}{16-n}$$
E
$$\frac{-2\sqrt{2n}-5n-n\sqrt{2n}}{8-n}$$
