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Which of the following expressions has a rational value?
3×33\times\sqrt{3}3×3
2333\frac{2\sqrt{3}}{3\sqrt{3}}3323
3−1\sqrt{3}-13−1
1−31-\sqrt{3}1−3
18−2\sqrt{1}8-218−2
18−17\sqrt{1}8-1718−17
18−318-\sqrt{3}18−3
18−2−2\sqrt{18-2}-218−2−2
252\sqrt{5}25
2+52+\sqrt{5}2+5
55\sqrt{5}\sqrt{5}55
5−55-\sqrt{5}5−5
π\sqrt{\pi}π
2+π\sqrt{2}+\pi2+π
π−π\sqrt{\pi}-\sqrt{\pi}π−π
π+π\sqrt{\pi}+\sqrt{\pi}π+π
π2\frac{\pi}{2}2π
2362\sqrt{36}236
2442\sqrt{44}244
442\frac{\sqrt{44}}{2}244
11−2\sqrt{11-2}11−2
11−2\sqrt{11}-\sqrt{2}11−2
11−211-\sqrt{2}11−2
11−2\sqrt{11}-211−2
3×23\times\sqrt{2}3×2
24\frac{\sqrt{2}}{4}42
42\frac{4}{\sqrt{2}}24
44\frac{\sqrt{4}}{4}44
2+2\sqrt{2}+\sqrt{2}2+2
2×2\sqrt{2}\times\sqrt{2}2×2
2+22+\sqrt{2}2+2
7−5\sqrt{7-5}7−5
6+3\sqrt{6}+36+3
6+3\sqrt{6}+\sqrt{3}6+3
6+36+\sqrt{3}6+3
3−3\sqrt{3}-\sqrt{3}3−3
20+5\sqrt{20}+520+5
20+5\sqrt{20+5}20+5
20+520+\sqrt{5}20+5
5−20\sqrt{5}-205−20
It is done.