Solving problems involving mixed operations on radicals

Fully simplify....

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Rationalize the denominator. 
 $\frac{\sqrt{5x^4}}{\sqrt{2x^2y^3}}$  

•  $\frac{\sqrt{10y}}{2y^2}$  

•  $\frac{x^2\sqrt{10y}}{2y^2}$  

•  $\frac{x\sqrt{10y}}{y^2}$  

•  $\frac{x\sqrt{10y}}{2y^2}$  

Rationalize the denominator:  $\frac{\sqrt{5}}{\sqrt{6}}$  

•  $\sqrt{5}$  

•  $\frac{\sqrt{30}}{6}$  

•  $\frac{\sqrt{5}}{6}$  

•  $\frac{\sqrt{30}}{36}$  

 $\frac{3}{5+2\sqrt{3}}$  can be expressed with rational denominator as ________________________ ?   

•  $\frac{15\ -\ 6\ \sqrt{3}}{13}$  

•  $\frac{15\ -6\sqrt{3}}{37}$  

•  $\frac{6\sqrt{3\ }\ -15}{13}$  

•  $\frac{6\sqrt{3}\ -15}{37}$  

Perform the operation

• A
• B
• C
• D

Simplify the expression:

• -15 + 8√9
• 9
• 2 + 8√3 + 6√6
• 9 + 14√3

Simplify.

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Find the quotient: $\frac{a^2-4}{3a}\div\frac{5a^2}{a-2}$  

•  $\frac{5a\left(a+4\right)}{3}$  

•  $\frac{a^3-2a^2-4a+8}{15a^3}$  

•  $\frac{5a^2+20a}{3}$  

•  $\frac{a^3-6a+8}{15a}$  

Simplify completely:

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• Cannot be simplified.