Radical Expressions and Equations - Practice Quiz

Simplify: $\sqrt{90}$  

•  $9\sqrt{10}$  

• 2 $\sqrt{5}$  

•  $3\sqrt{10}$  

• 2 $\sqrt{6}$  

Simplify.  $\sqrt{12}\cdot\sqrt{3y^2}$  

• 6y

•  $3y\sqrt{4}$  

•  $6\sqrt{y}$  

•  $4\sqrt{3y}$  

Multiply and simplify.  $\left(\sqrt{3}+4\right)\left(\sqrt{3}-1\right)$  

• 8

•  $7+5\sqrt{3}$  

•  $5\sqrt{3}$  

•  $3\sqrt{3}-1$  

Simplify.  $\frac{10}{\sqrt{5}}$  

•  $\frac{10}{\sqrt{5}}$  

•  $\frac{2\sqrt{5}}{5}$  

•  $2\sqrt{5}$  

•  $\frac{\sqrt{5}}{2}$  

Simplify.  $\sqrt{\frac{125}{x^4}}$  

•  $5x^2\sqrt{5}$  

•  $\frac{5\sqrt{5}}{x^2}$  

•  $\frac{25\sqrt{5}}{x}$  

•  $\frac{5}{x}$  

Simplify.  $\sqrt{\frac{72k^6}{6g^2}}$  

•  $\frac{\sqrt{12k^6}}{g}$  

•  $\frac{4k\sqrt{3k}}{g}$  

•  $\frac{2k^3\sqrt{3}}{g}$  

•  $3\sqrt{\frac{8kg}{6}}$  

Solve the equation. Check for extraneous solutions.
 $\sqrt{x}-9=0$  

• x = 81

• x =  $\pm9$  

• x = -81

• no solution

Solve the equation. Check for extraneous solutions.
 $\sqrt{4x+3}=\sqrt{3x+4}$  

• x =  $\pm2$  

• no solution

• x = 3, x = 4

• x = 1

Solve the equation. Check for extraneous solutions.
 $\sqrt{4x-3}=x$  

• x =  $\pm1$  

• x = 3, x = 1

• no solution

• x = 4

Solve the equation. Check for extraneous solutions.
 $\sqrt{x-6}+4=9$  

• no solution

• x = 19

• x = 31

• x =  $\pm6$