Viết 1 ddaonj văn nói về sở thích của mọi người trong gia đình bằng tiếng anh(80-100 từ) Cảm ơn các bạn nhiều

In my family, we all have different interests and hobbies. My mom is an avid reader. She spends hours lost in books and always recommends great reads. My dad enjoys fishing. He finds it peaceful and loves being out in nature. My older brother is into photography. He loves capturing moments and experimenting with different angles. Lastly, I enjoy gardening. I find it therapeutic and love taking care of my plants.

Each member of my family has their own unique hobbies. My mom enjoys knitting. She spends her free time creating beautiful scarves and sweaters for us. My dad is a nature enthusiast. He loves going hiking and exploring new trails. My younger sister is a ballet dancer. She practices ballet every day and dreams of becoming a professional dancer. Lastly, I love playing tennis. I play matches with my friends and enjoy the thrill of the game.

Hobbies vary within my family. My mom loves cooking and trying out new recipes. She enjoys experimenting with different flavors and creating delicious meals. My dad is interested in photography. He loves capturing moments and is always behind the camera during family gatherings. My younger brother enjoys playing video games and is often seen immersed in a virtual world. As for me, I love playing the piano. I find it calming and enjoy playing different melodies.

In my family, everyone has different hobbies. My mom enjoys gardening and spending time with her plants. She finds it relaxing and loves seeing the flowers bloom. My dad loves playing soccer. He is a member of a local football club and plays matches every week. My older sister is passionate about art. She spends hours painting and drawing. Lastly, I enjoy reading. I always have a book with me and look forward to exploring new worlds through literature.

Phương pháp giải:
Để rút gọn biểu thức có dạng $\dfrac{a+b}{c+d}$, ta nhân và chia tử mẫu bởi $c-d$ để tạo một lũy thừa của biểu thức số hạng. Sau đó, ta có thể rút gọn được biểu thức.

Câu trả lời:

a) Rút gọn $\dfrac{2+\sqrt{2}}{1+\sqrt{2}}$:
Nhân và chia tử mẫu bởi $1-\sqrt{2}$, ta có:
$\dfrac{2+\sqrt{2}}{1+\sqrt{2}} = \dfrac{(2+\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})} = \dfrac{(2+\sqrt{2})(1-\sqrt{2})}{1-2} = -2-\sqrt{2}$

b) Rút gọn $\dfrac{\sqrt{15}-\sqrt{5}}{1-\sqrt{3}}$:
Nhân và chia tử mẫu bởi $1+\sqrt{3}$, ta có:
$\dfrac{\sqrt{15}-\sqrt{5}}{1-\sqrt{3}} = \dfrac{(\sqrt{15}-\sqrt{5})(1+\sqrt{3})}{(1-\sqrt{3})(1+\sqrt{3})} = \dfrac{(\sqrt{15}-\sqrt{5})(1+\sqrt{3})}{1-3} = -\sqrt{15}+\sqrt{5}$

c) Rút gọn $\dfrac{2 \sqrt{3}-\sqrt{6}}{\sqrt{8}-2}$:
Nhân và chia tử mẫu bởi $\sqrt{8}+2$, ta có:
$\dfrac{2 \sqrt{3}-\sqrt{6}}{\sqrt{8}-2} = \dfrac{(2 \sqrt{3}-\sqrt{6})(\sqrt{8}+2)}{(\sqrt{8}-2)(\sqrt{8}+2)} = \dfrac{(2 \sqrt{3}-\sqrt{6})(\sqrt{8}+2)}{8-4} = \sqrt{3}+\sqrt{6}$

d) Rút gọn $\dfrac{a-\sqrt{a}}{1-\sqrt{a}}$:
Nhân và chia tử mẫu bởi $1+\sqrt{a}$, ta có:
$\dfrac{a-\sqrt{a}}{1-\sqrt{a}} = \dfrac{(a-\sqrt{a})(1+\sqrt{a})}{(1-\sqrt{a})(1+\sqrt{a})} = \dfrac{(a-\sqrt{a})(1+\sqrt{a})}{1-a} = -1-\sqrt{a}$

e) Rút gọn $\dfrac{p-2 \sqrt{p}}{\sqrt{p}-2}$:
Nhân và chia tử mẫu bởi $\sqrt{p}+2$, ta có:
$\dfrac{p-2 \sqrt{p}}{\sqrt{p}-2} = \dfrac{(p-2 \sqrt{p})(\sqrt{p}+2)}{(\sqrt{p}-2)(\sqrt{p}+2)} = \dfrac{(p-2 \sqrt{p})(\sqrt{p}+2)}{p-4} = \sqrt{p}+2$