Question

Simplify (2+√5/2-√5)+(2-√5/2+√5)
a. -18
b. +18
c. 18+8√5
d. 18-8√5​

Answer 1

Answer:

(2+√5/2-√5) + (2-√5/2+√5)= ((2+√5)*(2+√5)/(2-√5)*(2+√5)) + ((2-√5)*(2-√5)/(2+√5)*(2-√5))= ((2+√5)²+(2-√5)²)/((2+√5)*(2-√5))=((4+5+4√5)+(4+5–4√5))/(2²-√5²)=(9+9+4√5–4√5)/(4–5)=18/(-1)= -18

Step-by-step explanation:

so answer is -18