RADICALS REVIEW

Simplify:  $5\sqrt{60a^6b^{11}}$  

•  $20\sqrt{15a^6b^{11}}$  

•  $20a^3b^5\sqrt{15b}$  

•  $10a^3b^5\sqrt{15b}$  

•  $10a^3b^5\sqrt{15}$  

 Simplify: 

 $3\sqrt{6x^2y^3}\cdot\ 5\sqrt{8xy^5}$ 

•  $60xy^4\sqrt{3x}$  

•  $240xy^4\sqrt{3x}$  

•  $60xy^4\sqrt{3}$  

•  $30xy^4\sqrt{12x}$  

Simplify:

 $4\sqrt{6}\left(3\sqrt{3}-\sqrt{14}\right)$  

•  $12\sqrt{18}-4\sqrt{84}$  

•  $36\sqrt{2}-8\sqrt{21}$  

•  $3\sqrt{2}-2\sqrt{21}$  

Simplify:

 $\left(\sqrt{8}-2\sqrt{3}\right)\left(3\sqrt{8}+5\sqrt{3}\right)$  

•  $54-22\sqrt{6}$  

•  $3\sqrt{64}-1\sqrt{24}-10\sqrt{9}$  

•  $-6-2\sqrt{6}$  

•  $-6-\sqrt{24}$  

Simplify:

 $\left(3\sqrt{10}-\sqrt{6}\right)^2$  

•  $84-12\sqrt{15}$  

•  $96$  

•  $74\sqrt{15}$  

•  $96-12\sqrt{15}$  

Simplify:

 $\frac{3\sqrt{24}}{6\sqrt{14}}$  

•  $\frac{\sqrt{3}}{\sqrt{7}}$  

•  $\frac{\sqrt{21}}{14}$  

•  $\frac{\sqrt{84}}{14}$  

•  $\frac{\sqrt{21}}{7}$  

 $7\sqrt{20}-4\sqrt{27}+6\sqrt{75}-2\sqrt{45}$  

•  $18\sqrt{3}-8\sqrt{5}$  

•  $18\sqrt{3}+8\sqrt{5}$  

•  $14\sqrt{5}+12\sqrt{3}$  

•  $14\sqrt{5}-12\sqrt{3}+30\sqrt{3}-6\sqrt{5}$  

A 14ft ladder is leaning against a barn. The base of the ladder is 8ft from the side of the barn. How high up does the ladder reach?

• $\sqrt{260}$

• $2\sqrt{65}$

• $\sqrt{132}$

• $2\sqrt{33}$

Solve. 

 $\sqrt{2x+5}=7$   

Solve.

 $3\sqrt{x-4}+8=23$