What is the square root of 32^(2/3)?

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Answer 1 · 2015-09-19T12:35:30

#2root3(4)#

#sqrt(32)^(2/3)#

#=[(32)^(2/3)]^(1/2)#

#=(32)^(2/3*1/2)#

#=(32)^(1/3)#

#=(2^5)^(1/3)#

#=root3(2^5)#

#=root3(2^3 * 2^2)#

#=2root3(4)#

Answer 2 · 2015-09-19T12:44:30

#2xx2^(2/3)#

#sqrt(32^(2/3))=sqrt((2^5)^(2/3)#

#sqrt((2^5)^(2/3))=sqrt(2^(10/3)#

#sqrt(2^(10/3))=(2^(10/3))^(1/2)#

#(2^(10/3))^(1/2)=2^(10/6)#

#2^(10/6)=2^(5/3)#

#2^(5/3)=2^(1+2/3)=2xx2^(2/3)#

I hope that helps :)