The image contains a series of mathematical problems written on a chalkboard. Here is the transcription of the content:

1) Tính
a) \(\sqrt{(\sqrt{3} - 1)^2} - \sqrt{3}\)
b) \(\sqrt{(2 - \sqrt{5})^2} - \sqrt{5}\)
c) \(\sqrt{(2 + \sqrt{3})^2} - \sqrt{3}\)

2) Tính
a) \(\sqrt{4 + 2\sqrt{3}}\)
b) \(\sqrt{11 - 2\sqrt{10}}\)
c) \(\sqrt{13 + 4\sqrt{3}}\)

3) Tìm x
a) \(\sqrt{x - 4} = 3\)
b) \(2\sqrt{x + 1} - 1 = 1\)
c) \(\sqrt{x + 2} \leq 5\)

4) Rút gọn
a) \(\sqrt{(x + 3)^2}\) với \(x \geq -3\)
b) \(\sqrt{x^2 - 4x + 4}\) với \(x \leq 2\)
c) \(\frac{2}{x + 2} \sqrt{x^2 + 4x + 4}\) với \(x \geq -2\)
d) \(\sqrt{7 + 2\sqrt{10}}\)
e) \(\sqrt{13 + 2\sqrt{42}}\)

These problems involve simplifying expressions, solving equations, and reducing expressions under given conditions.