BINOMIAL RADICAL EXPRESSIONS

Simplify completely.

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Simplify completely.

• Cannot be simplified.

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Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

• Cannot be simplified.

•  $-8\sqrt{2}$  

•  $9\sqrt{2}$  

•  $-20\sqrt{2}$  

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

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 $14\sqrt{20}-3\sqrt{125}$   

•  $13\sqrt{5}$  

•  $13\sqrt{10}$  

•  $-13\sqrt{5}$  

• Cannot combine

Simplify $6\sqrt{18}+3\sqrt{50}$   

•  $30\sqrt{2}$  

•  $10\sqrt{3}$  

•  $33\sqrt{2}$  

•  $18\sqrt{3}$  

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

•  $63\ -\ 38\sqrt{2}$  

•  $63\ +24\sqrt{2}$  

•  $63\ +\ 38\sqrt{2}$  

•  $15\ -24\sqrt{2}$