binomial radical expressions

Add if possible $3\sqrt{x}-5\sqrt{x}$   

•  $2\sqrt{x}$  

•  $-2\sqrt{x}$  

•  $8\sqrt{x}$  

• Cannot combine

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2

Simplify
 
2√27+3√3

• 15√30
• 5√3
• 9√3
• 9√8

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify completely.  $\left(2-\sqrt{5}\right)\left(1+\sqrt{5}\right)$  

•  $2+\sqrt{5}-\sqrt{10}$  

•  $3-\sqrt{5}$  

•  $2+\sqrt{5}-\sqrt{25}$  

•  $-3+\sqrt{5}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.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

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

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

• -5√1

• cannot be simplified

• 21√5

• 20√5

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Rationalize the denominator. Simplify the answer. $\frac{5}{\sqrt{7}\ +2}$   

•  $\frac{5\sqrt{7}\ -\ 10}{3}$  

•  $\frac{5\sqrt{7}\ +10}{3}$  

•  $\frac{\sqrt{35}\ -10}{11}$  

•  $\frac{5\sqrt{7}-10}{11}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.2

Which of the following is NOT a binomial radical expression?

• $25\sqrt{2x}$

• $2-\sqrt{5}$

• $\sqrt{3x}+7$

• $20-\sqrt{3y}$

Tags

CCSS.HSA.SSE.B.3

Which of the following is the conjugate (opposite) of  $\sqrt{7}-3$  

•  $-3-\sqrt{7}$  

•  $\sqrt{7}+3$  

•  $\sqrt{7}-3$  

•  $3-\sqrt{7}$  

Tags

CCSS.HSN.CN.A.3