Assuming we have a list below, it has real number elements and complex numbers, how can I quickly find if the list has any Real number that its value is less than 1.0?

` lis = {3 Sqrt[354], Sqrt[2962], Sqrt[2746], 3 Sqrt[282], Sqrt[2338], Sqrt[2146], 3 Sqrt[218], Sqrt[1786], Sqrt[1618], 27 Sqrt[2], Sqrt[ 1306], Sqrt[1162], 3 Sqrt[114], Sqrt[898], Sqrt[778], 3 Sqrt[74], Sqrt[562], Sqrt[466], 3 Sqrt[42], Sqrt[298], Sqrt[226], 9 Sqrt[2], Sqrt[106], Sqrt[58], 3 Sqrt[2], I Sqrt[14], I Sqrt[38], 3 I Sqrt[6], I Sqrt[62], I Sqrt[62], 3 I Sqrt[6], I Sqrt[38], I Sqrt[14], Sqrt[ 1.2], Sqrt[58], Sqrt[1.06], 9 Sqrt[2], Sqrt[226]} `

I am also considering if we can find methods to filter any real or complex numbers with specific values in any types list (e.g. there are some string elements mixed with real and complex number elements in a given list). But this could be another question and isn’t necessary for my example. Please leave some advice if you interested! Thanks in advance!