Question #ee927

1 Answer
May 14, 2017

Answer:

#-6root(7)2+2root(7)(256)=color(red)(-2root(7)2#

Explanation:

I have assumed #root(7)(265)# was meant to be #root(7)(256)#

#256=2^8=2^7 * 2#

#color(blue)(root(7)(256))=root(7)(2^7 * 2) = root(7)(2^7) * root(7)(2)color(blue)(=2root(7)2)#

#-6root(7)2+2color(blue)(root(7)(256)#
#color(white)("XXX")=-6root(7)(2)+2*color(blue)(2root(7)(2))#

#color(white)("XXX")=-6root(7)(2)+4root(7)(2)#

#color(white)("XXX")=-2root(7)(2)#