Simplify Radicals Review

Reduce  $\sqrt{24}$  to its simplest form. 

•  $2\sqrt{6}$  

•  $4\sqrt{3}$  

•  $3\sqrt{8}$  

•  $\sqrt{24}$  

 $3\sqrt{5}\left(\sqrt{5}+3\right)$  

•  $15+9\sqrt{5}$  

•  $24\sqrt{5}$  

•  $3\sqrt{5}+9\sqrt{5}$  

•  $15\sqrt{5}+9\sqrt{5}$  

Simplify. $6\sqrt{2}-4\sqrt{50}$  

•  $2\sqrt{-48}$  

•  $26\sqrt{2}$  

•  $-14\sqrt{2}$  

•  $2\sqrt{2}$  

Simplify.  $2\sqrt{3}\left(\sqrt{2}+5\sqrt{5}\right)$  

•  $27$  

•  $2\sqrt{6}+10\sqrt{15}$  

•  $12\sqrt{21}$  

•  $6\sqrt{2}+15\sqrt{10}$  

Tags

CCSS.HSN.RN.A.2

Simplify.  $-3\sqrt{25x^4y^8}$  

•  $-15\sqrt{5x^4y^5}$  

•  $-15x^4y^8$  

•  $-75x^2x^4$  

•  $-15x^2y^4$  

• A

• B

• C

• D

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

Simplify. $\sqrt{45x^2y^5z^8}$  

•  $9xy^2z^4\sqrt{5y}$  

•  $3x^2y^5z^8\sqrt{5}$  

•  $3xy^2z^4\sqrt{5xy^3z^4}$  

•  $3xy^2z^4\sqrt{5y}$  

Simplify.  $\sqrt{\frac{8x^4}{14x}}$  

•  $\sqrt{\frac{4x^3}{7}}$  

•  $\frac{2x\sqrt{7x}}{7}$  

•  $\frac{\sqrt{28x^4}}{7}$  

•  $2x^2\sqrt{7}$  

Tags

CCSS.HSN.RN.A.2

 $\frac{\sqrt{3}}{\sqrt{12}}\ is\ the\ same\ as\ \sqrt{\frac{3}{12}}$  

• True

• False

After multiplying by the conjugate, you will have:

• $\frac{21\ -7\sqrt{15}}{-6\ +\ 6\sqrt{15}}$

• $\frac{21\ -\ \sqrt{105}}{-6}$

• $\frac{21\ -\ 7\sqrt{15}}{9\ -\ 3\sqrt{15}\ +\ 3\sqrt{15}\ -\ 15}$

• $\frac{21\ -\ 7\sqrt{15}}{9\ -\ \sqrt{15}}$