Question

1 - Simplifique os Radicais.

 

(A) $<var>\sqrt[4]{2}{5}</var>$

 

(B) $<var>\sqrt[5]{3}{2}</var>$

 

(C) $<var>\sqrt[6]{1}{0}{0}{0}</var>$

 

(D) $<var>\sqrt[20]{2}{5}{6}</var>$

Answer 1

a) $<var>\sqrt[4]{25} \Rightarrow \sqrt[4]{5^{2}} \Rightarrow \sqrt[4 \div 2]{5^{2 \div 2}} = \boxed{\sqrt{5}}</var>$

 

b) $<var>\sqrt[5]{32} \Rightarrow \sqrt[5]{2^{5}} \Rightarrow \boxed{2}</var>$

 

c) $<var>\sqrt[6]{1000} \Rightarrow \sqrt[6]{10^{3}} \Rightarrow \sqrt[6 \div 3]{10^{3 \div 3}} = \boxed{\sqrt{10}}</var>$

 

d) $<var>\sqrt[20]{256} \Rightarrow \sqrt[20]{2^{8}} \Rightarrow \sqrt[20 \div 4]{2^{8 \div 4}} \Rightarrow \boxed{\sqrt[5]{2^{2}}}</var>$

Answer 2

a) $<var>\sqrt[4]{5^2}</var>$ = $<var>\sqrt{5}</var>$   

b) $<var>\sqrt[5]{2^5}</var>$ =  2  

c) $<var>\sqrt[6]{2^3 . 5^3}</var>$ = $<var>\sqrt{2 . 5}</var>$  = $<var>\sqrt{10}</var>$   

d)$<var>\sqrt[20]{16^2}</var>$ = $<var>\sqrt[10]{16}</var>$ =$<var>\sqrt[10]{4^2}</var>$ =$<var>\sqrt[5]{4}</var>$

 

simplifique os índices com os expoentes