Answer:
99
Step-by-step explanation:
(√3−(−2√3))^2+(−√2−5√2)^2
Subtracting a negative is like adding
(√3+(2√3))^2+(−√2−5√2)^2
Taking the first term
(√3+(2√3))(√3+(2√3))
sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3) + (2 sqrt(3))^2
3 + 2 *3 + 2*3 + 4*3
3 +6+6+12
27
Second term
(−√2−5√2)(−√2−5√2)
-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))
2 +5*2 +5(2) +25(2)
2+10+10+50
72
Add the two terms together
27+72
99
