Question

tính
a.\(\sqrt{3+2\sqrt{2}}\)
b.\(\sqrt{7+4\sqrt{3}}\)
c. \(\sqrt{14-6\sqrt{5}}\)

Answer 1

`a,\sqrt(3+2sqrt2)=\sqrt((sqrt2)^2+2.sqrt2 .1+1^2)=\sqrt((sqrt2+1)^2)=|sqrt2+1|=sqrt2+1`

`b,\sqrt(7+4sqrt3)=\sqrt((sqrt3)^2+2.\sqrt3 .2 +2^2)=\sqrt((sqrt3+2)^2)=|sqrt3+2|=sqrt3+2`

`c,sqrt(14-6sqrt5)=\sqrt((sqrt5)^2-2.\sqrt5 .3+3^2)=sqrt((sqrt5-3)^2)=|sqrt5-3|+3-sqrt5`