a: \(\dfrac{5}{4}\sqrt{2}=\sqrt{\dfrac{25}{16}\cdot2}=\sqrt{\dfrac{25}{8}}\)
\(\dfrac{3}{2}\sqrt{\dfrac{3}{2}}=\sqrt{\dfrac{27}{8}}\)
=>5/4 căn 2<3/2 căn 3/2
b: \(\dfrac{5}{2}\sqrt{\dfrac{1}{6}}=\sqrt{\dfrac{1}{6}\cdot\dfrac{25}{4}}=\sqrt{\dfrac{25}{24}}\)
\(6\sqrt{\dfrac{1}{37}}=\sqrt{\dfrac{36}{37}}\)
mà 25/24>36/37
nên 5/2 căn 1/6>6 căn 1/37