2.03 Simplifying Non-Perfect Radicals

Express the following in simplest radical form:

 $\sqrt{52}$  

•  $2\sqrt{13}$  

•  $4\sqrt{13}$  

•  $\sqrt{4}\sqrt{13}$  

•  $\sqrt{52}$  

Tags

CCSS.HSN.RN.A.2

Express the following in simplest radical form:

 $\sqrt{80}$  

•  $4\sqrt{5}$  

•  $16\sqrt{5}$  

•  $2\sqrt{20}$  

•  $4\sqrt{20}$  

Tags

CCSS.HSN.RN.A.2

Express the following in simplest radical form:

 $\sqrt{a^{32}}$  

•  $a^{16}$  

•  $a^8$  

•  $a^2\sqrt{a^{16}}$  

•  $a^4\sqrt{a^8}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Express the following in simplest radical form:

 $\sqrt{a^{21}}$  

•  $a^{10}\sqrt{a}$  

•  $a^{20}\sqrt{a}$  

•  $a^2\sqrt{a^{10}}$  

•  $a^3\sqrt{a^7}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Express the following in simplest radical form:

 $\sqrt{16a^{12}}$  

•  $4a^6$  

•  $8a^6$  

•  $4\sqrt{a^{12}}$  

•  $4a^6\sqrt{2a^{ }}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Express the following in simplest radical form:

 $\sqrt{20a^{30}}$  

•  $2a^{15}\sqrt{5}$  

•  $4a^{15}\sqrt{5}$  

•  $2a^3\sqrt{5a^{10}}$  

•  $4a^{15}\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

Express the following in simplest radical form:

 $\sqrt{75a^{11}}$  

•  $5a^5\sqrt{3a}$  

•  $25a^5\sqrt{3a}$  

•  $5a^5\sqrt{15a^3}$  

•  $25a^{10}\sqrt{3a}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

-3√80a⁷

• 4a³√5a
• -12a³√5a
• -3a³√5a
• -48a³√5a

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

2√18a⁶b²

• 3a³b√2
• 6a³b²√2
• 6a³b√2
• 2a³b√2

Tags

CCSS.HSN.RN.A.2

Tags

CCSS.HSN.RN.A.2