Advanced Algebra Review

Which of the following is the radical form of the exponential expression $3^{\frac{5}{2}}$ ? 

•  $\sqrt{3^5}$  

•  $\sqrt{5^3}$  

•  $\sqrt{2^3}$  

•  $\sqrt{5^2}$  

Simplify:  $\sqrt{108x^8y^2}$  

•  $36x^4y^2$  

•  $6x^4y\sqrt{3}$  
  

•  $2x^4y\sqrt{27}$  
  

•  $6x^4y$  
  

Simplify:  $3\sqrt{75x^2y^3z}$  

•  $3xy\sqrt{3yz}$  
  

•  $5xy\sqrt{3yz}$  
  

•  $15xy\sqrt{3yz}$  
  

•  $75xy\sqrt{3yz}$  
  

Simplify:  $2\sqrt{162x^{10}y^8}$  

•  $18x^5y^4\sqrt{2}$  
  

•  $18x^5y^4$  
  

•  $9x^5y^4\sqrt{2}$  
  

•  $9x^5y^4$  
  

Perform the indicated operation:  $4\sqrt{10}+6\sqrt{40}$  

•  $10\sqrt{40}$  
  

•  $16\sqrt{40}$  
  

•  $10\sqrt{10}$  
  

•  $16\sqrt{10}$  
  

Perform the indicated operation:  $-10\sqrt{48}+3\sqrt{27}$  

•  $31\sqrt{3}$  
  

•  $-31\sqrt{3}$  
  

•  $13\sqrt{3}$  
  

•  $-13\sqrt{3}$  
  

Perform the indicated operation:  $\sqrt{2x}\left(3\sqrt{6x}+\sqrt{7x^2}\right)$  

•  $4x\sqrt{3}+x\sqrt{14x}$  
  

•  $6x\sqrt{3}+x\sqrt{14x}$  
  

•  $4x^2\sqrt{3}+x^2\sqrt{14x}$  
  

•  $3\sqrt{12x}+\sqrt{14x^2}$  
  

Perform the indicated operation:  $\sqrt{\frac{81x^7}{x}}$  

•  $9x$  
  

•  $9x^2$  
  

•  $9x^3$  
  

•  $9x^6$  
  

Perform the indicated operation:  $\sqrt{\frac{30x^9}{160x^5}}$  

•  $4x^2\sqrt{3}$  
  

•  $\frac{x^2\sqrt{3}}{4}$  
  

•  $4x\sqrt{3}$  
  

•  $\frac{x\sqrt{3}}{4}$  
  

K varies directly as twice of D. Which of the following equation correctly represents the relationship between K and D?

•  $K=2kD$  

•  $K=kD^2$  
  

•  $K=\frac{kD}{2}$ 
  

•  $2K=kD$