How do you simplify #(2sqrt5+3sqrt2)^2#?

1 Answer
Jul 5, 2016

Answer:

#38+12sqrt(10)#

Explanation:

#color(blue)((2sqrt(5)+3sqrt(2))color(brown)((2sqrt(5)+3sqrt(2))#

#color(brown)(color(blue)(2sqrt(5)color(brown)((2sqrt(5)+3sqrt(2))color(blue)(" "+" "3sqrt(2)color(brown)((2sqrt(5)+3sqrt(2))#

#(4xx5)+6sqrt(5)sqrt(2)" "+" "6sqrt(5)sqrt(2)+(9xx2)#

#20+12sqrt(5)sqrt(2)+18#

But #sqrt(5)sqrt(2)" is the same as "sqrt(5xx2)= sqrt(10)#

#20+18+12sqrt(10)#

#38+12sqrt(10)#