Cho x, y là các số thực dương. Rút gọn các biểu thức sau:

a)  $A=\frac{x^{\frac{1}{3}}\sqrt{y}+y^{\frac{1}{3}}\sqrt{x}}{\sqrt[6]{x}+\sqrt[6]{y}}$;

-Lan: “Well, cats are very good at catching mice around the house.”

-Mai: “___________”

Tom: “I’m sorry. I won’t be able to come.”

-Jerry: “____________________________”

Ann and Matthew are talking about the effects of global warming.

-Ann: “Does global warming worry you?”

-Matthew: “___________”

Rút gọn các biểu thức sau:

b)  $B=\frac{x^2{y}^{-3}}{{\left(x^{-1}{y}^4\right)}^{-3}}\left(x,y\ne 0\right)$.

The teacher asked students to discuss the situation “ Which is better, supermarkets and traditional markets”.

-Jennifer: “ I believe that supermarkets are much better than traditional markets”.

-Katherine: “______. Each has its own features”.

David and his teacher are meeting at the school gate.

David: “Good morning, Mr Dakin. How are you?

Mr Dakin: “_______.”

Rút gọn các biểu thức sau:

a)  $A=\frac{x^5{y}^{-2}}{x^{3}y}\left(x,y\ne 0\right)$;

Linda is thanking Daniel for his birthday present.

Linda: “Thanks for the book. I’ve been looking for it for months.”

Daniel: “_______.”

David is talking to his friend, Monica.

-David: “______”

-Monica: “Good luck for you”.

Hoa and Lan are at the party.

-Hoa: “You look very beautiful in that dress, Lan”.

-Lan: “______”

Would you like to go to the movie tonight?” -    “_____________”

Mark the letter A, B, C or D on your answer sheet to indicate the most suitable response to complete each of the following exchanges.

Thực hiện phép tính:

b)  $4^{2-3\sqrt{7}}\cdot 8^{2\sqrt{7}}$.

Thực hiện phép tính:

a)  ${27}^{\frac{2}{3}}+{81}^{-0,75}-{25}^{0,5}$; 

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. spaciousness

Tính:

c)  ${\left(\frac{1}{8}\right)}^{-\frac{2}{3}}$;               d)  ${\left(\frac{1}{16}\right)}^{-0,75}$.

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. suspicious

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. appearance

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

Tính:

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. office

Giải bài toán trong tình huống mở đầu.

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. inhabitant 

Rút gọn biểu thức:

 $A=\frac{{\left(a^{\sqrt{2}-1}\right)}^{1+\sqrt{2}}}{a^{\sqrt{5}-1}\cdot a^{3-\sqrt{5}}}\left(a>0\right)$.

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. attract 

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. combination 

b) Có nhận xét gì về sai số tuyệt đối giữa  $3^{\sqrt{2}}$ và  $3^{r_n}$, tức là  $\left|3^{\sqrt{2}}-3^{r_n}\right|$, khi n càng lớn?

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. academic

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. advise

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. social

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. social

Ta biết rằng  $\sqrt{2}$ là một số vô tỉ và  $\sqrt{2}$ = 1,4142135624...

Gọi (r_n) là dãy số hữu tỉ dùng để xấp xỉ số  $\sqrt{2}$, với r₁ = 1; r₂ = 1,4; r₃ = 1,41;

r₄ = 1,4142;...

a) Dùng máy tính cầm tay, hãy tính:  $3^{r_1};3^{r_2};3^{r_3};3^{r_4}$ và  $3^{\sqrt{2}}$.

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. obligatory  

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. represented

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. comfortable

Rút gọn biểu thức:

 $A=\frac{x^{\frac{3}{2}}y+x{y}^{\frac{3}{2}}}{\sqrt{x}+\sqrt{y}}\left(x,y>0\right)$.

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

Mark the letter A, B, C, D on your answer sheet to indicate the word that differs from the rest in the position of the main stress.

A. deliver

Vì sao trong định nghĩa lũy thừa với số mũ hữu tỉ lại cần điều kiện cơ số a > 0?