\(\dfrac{\sqrt{8-\sqrt{15}}}{\sqrt{30}-\sqrt{2}}=\dfrac{\sqrt{2}.\sqrt{8-\sqrt{15}}}{\sqrt{2}\left(\sqrt{15.2}-\sqrt{2}\right)}\)
\(=\dfrac{\sqrt{16-2\sqrt{15}}}{2\left(\sqrt{15-1}\right)}=\dfrac{\sqrt{\left(\sqrt{15-1}\right)^2}}{2\left(\sqrt{15-1}\right)}\)
=\(\dfrac{\left|\sqrt{15}-1\right|}{2\left(\sqrt{15}-1\right)}=\dfrac{\sqrt{15}-1}{2\left(\sqrt{15}-1\right)}\)
=\(\dfrac{1}{2}\)
Chúc bạn học tốt nha !
\(\dfrac{\sqrt{8-\sqrt{15}}}{\sqrt{30}-\sqrt{2}}=\dfrac{\sqrt{15-2\sqrt{15}+1}}{\sqrt{60}-2}=\dfrac{\sqrt{15}-1}{2\left(\sqrt{15}-1\right)}=\dfrac{1}{2}\)
