Question #9a91c

1 Answer
Nov 19, 2017

Answer:

#6(3+sqrt5)#

Explanation:

If the question is:- #(sqrt3+sqrt15)^2 then:#

#color(white)(aaaaaaaaaaaaa)##sqrt3+sqrt15#
#color(white)(aaaaaaaaaaa)## xx underline(sqrt3+sqrt15)#
#color(white)(aaaaaaaaaaaaa)##3+sqrt3*sqrt15#
#color(white)(aaaaaaaaaaaaaaaa)##+sqrt3*sqrt15+15#
#color(white)(aaaaaaaaaaaaa)##overline(3+2sqrt3*sqrt15+15)#

#color(white)(aaaaaaaaaaaaa)##:.=18+2sqrt3*sqrt15#

#color(white)(aaaaaaaaaaaaa)##:.18+2sqrt45#

#color(white)(aaaaaaaaaaaaa)##:.=18+2sqrt(5*3*3)#

#color(white)(aaaaaaaaaaaaa)##sqrt3*sqrt3=3#

#color(white)(aaaaaaaaaaaaa)##:.=18+2*3sqrt(5)#

#color(white)(aaaaaaaaaaaaa)##:.=18+6sqrt(5)#

#color(white)(aaaaaaaaaaaaa)##:.=6(3+sqrt(5))#