Cho biểu thức: P = \(\left[\frac{\sqrt{x}\left(\sqrt{x}+2\right)^2}{\left(\sqrt{x}+1\right)^2+3}-\frac{4}{2-\sqrt{x}}+\frac{8\sqrt{x}+32}{8-x\sqrt{x}}\right]\)\(\div\) \(\left(1-\frac{2}{2+\sqrt{x}}\right)\)

a) Rút gọn P

b) Tìm các giá trị chính phương x để p có gúa trị nguyên

Cho biểu thức: P = \(\left(\frac{\sqrt{x}-2}{\sqrt{x}+1}-\frac{x-\sqrt{x}-3}{x+3\sqrt{x}+2}\right)\):\(\left(\frac{2\sqrt{x}+1}{x+3\sqrt{x}+2}-\frac{2}{\sqrt{x}+2}\right)\)

a) Rút gọn P

b) Tìm x để \(-\left(\sqrt{x}+1\right)\)P = 2\(\sqrt{x+2}\)

c) Tìm m để x = 1 và x = 3 thỏa mãn: mP = (m\(^2\) \(-\) 1)x \(-\) m\(\sqrt{x}\) +1

Rút gọn

H = \(\sqrt{3+\sqrt{5}}\) + \(\sqrt{7-3\sqrt{5}}\) \(-\)\(\sqrt{2}\)

Chuyển câu chủ động sang câu bị động

1. No one expected that i would fail the final exam.

2. Do they think that they will have a chance to visit that place ?

3. They expected that this summer holiday would be swelteringly hot.

4. They reported that a vast area of forest in my hometown was destroyed.

5. Did they believe that information was true ?

6. Did anyone hope that there would be a significant change in the standards of living ?

Giải phương trình

a) \(\sqrt{x^2-16+60}\) < x\(-\)6

b)\(\sqrt{x-3}\)\(-\)\(\sqrt{x-4}\) = 1

Giải phương trình :

a)\(\sqrt{x+2\sqrt{x-1}}\) = 2

b)\(\sqrt{x-2\sqrt{x-1}}\) =\(\sqrt{x-1}\) - 1

c)\(\sqrt{x^4-8x^2+16}\) = 2 - x