\[\sqrt{a^2 + 8ab + 16b^2} = \sqrt{(a + 4b)^2} = |a + 4b|\]
\[\sqrt{a^2 + 12ab + 36b^2} = \sqrt{(a + 6b)^2} = |a + 6b|\]
\[\sqrt{a^2 + 10ab + 25b^2} = \sqrt{(a + 5b)^2} = |a + 5b|\]
\[\sqrt{a^2 + 8ab + 16b^2} = \sqrt{(a + 4b)^2} = |a + 4b|\]
\[\sqrt{9a^2 + 6ab + b^2} = \sqrt{(3a + b)^2} = |3a + b|\]
\[\sqrt{16a^2 + 8ab + b^2} = \sqrt{(4a + b)^2} = |4a + b|\]
\[\sqrt{25a^2 + 10ab + b^2} = \sqrt{(5a + b)^2} = |5a + b|\]
\[\sqrt{36a^2 + 12ab + b^2} = \sqrt{(6a + b)^2} = |6a + b|\]
Ответ: 1) |a+4b|, 2) |a+6b|, 3) |a+5b|, 4) |a+4b|, 5) |3a+b|, 6) |4a+b|, 7) |5a+b|, 8) |6a+b|