Question

式子根号（3+根号5）+根号（3-根号5）的化简结果为？

Answer 1

令原式=a
则辩桐显举灶纤然a>=0

a²=3+√5+2√(3+√5)(3-√正仿5)+3-√5
=6+2√(9-5)
=6+2×2
=10
所以原式=√10

Answer 2

=根号郑雹（（6+2根号5）/2)+根号（（6+2根号悄和5）/喊运帆2)
=根号（（根号5+1）^2/2）+根号（（根号5-1）^2/2)
=根号10