Review for Quadratics Quiz

Review for Quadratics Quiz

Simplifying Radicals

• For Coefficients: HEDGE

• For Variables: DIVIDE EXPONENT BY 2

Multiple Choice

Simplify:  $\sqrt{40}$  

•  $4\sqrt{10}$  

•  $2\sqrt{5}$  

•  $2\sqrt{10}$  

•  $8\sqrt{5}$  

Multiple Choice

 $\sqrt{x^8y^4}$  

Simplify:

•  $\sqrt{x^4y^2}$  

•  $x^4y^2$  

•  $x^4y^2\sqrt{xy}$  

Multiple Choice

Which variable would you expect to have a remainder left inside the radical (square root sign) after simplifying: 

 $\sqrt{45x^4y^9z^8}$  

• x

• y

• z

Multiple Choice

Simplify: $\sqrt{72x^5y^6z^{11}}$  

•  $6x^2y^3z^5\sqrt{2xz}$  

•  $5x^2y^3z^5\sqrt{2xz}$  

•  $6x^4y^6z^{10}\sqrt{2xz}$  

Radicals on Bottom

• Multiply by the radical on bottom

• EX:  $\frac{\sqrt{5}}{\sqrt{4}}\rightarrow\ \frac{\sqrt{5}}{\sqrt{4}}\times\frac{\sqrt{4}}{\sqrt{4}}=\frac{\sqrt{20}}{4}$  

Multiple Choice

What would go in both the blank spaces?

 $\frac{\sqrt{3}}{\sqrt{5}}\times\frac{\left(blank\right)}{\left(blank\right)}$  

•  $\sqrt{3}$  

• 5

•  $\sqrt{5}$  

• 3

Multiple Choice

Simplify: $\frac{\sqrt{5}}{\sqrt{6}}$  

•  $\frac{\sqrt{30}}{\sqrt{6}}$  

•  $\frac{\sqrt{5}}{6}$  

•  $\frac{\sqrt{30}}{6}$  

Multiple Choice

 $\frac{1}{\sqrt{7}}$  

Simplify:

•  $\frac{\sqrt{7}}{7}$  

•  $\frac{7}{7}$  

•  $\frac{\sqrt{7}}{\sqrt{49}}$