TEST binomial radical expressions

Simplify completely.  $\sqrt{8}-2\sqrt{50}$  

• Cannot be simplified.

•  $-8\sqrt{2}$  

•  $9\sqrt{2}$  

•  $-20\sqrt{2}$  

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

•  $7$  

•  $9-\sqrt{4}$  

•  $9+\sqrt{4}$  

•  $9\sqrt{6}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Multiply $\left(3\ +\ \sqrt{5}\right)\left(1\ +\ \sqrt{5}\right)$   

•  $4\ +4\sqrt{5}$  

•  $3\ +\sqrt{5}$  

•  $8\ +\ 4\sqrt{5}$  

•  $8\ +\sqrt{5}$  

Simplify $\left(3\ -\ 4\sqrt{2}\right)\left(5\ -\ 6\sqrt{2}\right)$   

•  $63\ -\ 38\sqrt{2}$  

•  $63\ +24\sqrt{2}$  

•  $63\ +\ 38\sqrt{2}$  

•  $15\ -24\sqrt{2}$  

Simplify $\left(5\ -\sqrt{11}\right)\left(5\ +\sqrt{11}\right)$   

• 10

• -14

• 11

• 14

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

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

•  $15\ +\ 2\sqrt{15}$  

•  $8\ +\ 2\sqrt{15}$  

•  $8\ +\ 8\sqrt{8}$  

•  $15\ +\sqrt{15}$  

Rationalize each denominator. Simplify the answer. $\frac{4}{1\ +\sqrt{3}}$   

•  $2\ -2\sqrt{3}$  

•  $-2\ +2\sqrt{3}$  

•  $4\ -2\sqrt{3}$  

•  $-4\ -2\sqrt{3}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.2

Rationalize the denominator. Simplify the answer. $\frac{5\ +\sqrt{3}}{2\ -\sqrt{3}}$   

•  $13\ +7\sqrt{3}$  

•  $-13\ +7\sqrt{3}$  

•  $13\ -7\sqrt{3}$  

•  $13\ +\sqrt{3}$  

Rationalize the denominator. Simplify the answer. $\frac{3\ +\sqrt{8}}{2\ -\ 2\sqrt{8}}$   

•  $\frac{11\ -8\sqrt{2}}{14}$  

•  $\frac{11\ +8\sqrt{2}}{14}$  

•  $\frac{11-\sqrt{2}}{14}$  

•  $\frac{11\ +\ 8\sqrt{2}}{-14}$  

Rationalize the denominator. Simplify the expression. $\frac{2\ -\sqrt{3}}{4\ +\sqrt{3}}$   

•  $\frac{11\ +6\sqrt{3}}{13}$  

•  $\frac{11\ -6\sqrt{3}}{13}$  

•  $\frac{-11\ +\sqrt{3}}{13}$  

•  $\frac{-11\ +2\sqrt{3}}{13}$