All Operations with Radicals

Simplify the following radical: √150

• 5√15
• 5√2
• 5√6
• 15√5

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

√24

• 4√6
• 2√6
• 6√2
• 2√12

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $5\sqrt{2}+4\sqrt{2}$  

•  $9\sqrt{4}$  

•  $9\sqrt{2}$  

•  $20\sqrt{2}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$  

•  $24\sqrt{3}$  

•  $24\sqrt{3}+5\sqrt{8}$  

•  $14\sqrt{3}+10\sqrt{2}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $10\sqrt{45}-\sqrt{20}$  

•  $32\sqrt{5}$  

•  $88\sqrt{5}$  

•  $28\sqrt{5}$  

Tags

CCSS.HSN.RN.A.2

Rationalize the denominator:
 $\frac{7\sqrt{3}}{4\sqrt{7}}$  

•  $\frac{7\sqrt{21}}{28}$  

•  $\frac{7\sqrt{21}}{196}$  

•  $\frac{\sqrt{21}}{28}$  

•  $\frac{\sqrt{21}}{4}$  

Rationalize the denominator:
 $\frac{\sqrt{5}}{2\sqrt{3}}$  

•  $\frac{\sqrt{15}}{6}$  

•  $\frac{\sqrt{15}}{18}$  

•  $\frac{5\sqrt{3}}{6}$  

•  $\frac{5\sqrt{3}}{18}$  

Tags

CCSS.HSN.RN.A.2

Rationalize the denominator:
 $\frac{2\sqrt{8}}{\sqrt{12}}$  

•  $\frac{\sqrt{96}}{6}$  

•  $\frac{2\sqrt{6}}{3}$  

•  $\frac{2\sqrt{96}}{12}$  

•  $\frac{4\sqrt{2}}{2\sqrt{3}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

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Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2