1.

\(A=\sqrt[3]{6\sqrt{3}+10}-\sqrt[3]{6\sqrt{3}-10}\)

\(=\sqrt[3]{\left(\sqrt{3}+1\right)^3}-\sqrt[3]{\left(\sqrt{3}-1\right)^3}\)

\(=\sqrt{3}+1-\sqrt{3}+1=2\)

2.

\(B=\sqrt{3+\sqrt{3}+\sqrt[3]{6\sqrt{3}+10}}\)

\(=\sqrt{3+\sqrt{3}+\sqrt[3]{\left(\sqrt{3}+1\right)^3}}\)

\(=\sqrt{3+\sqrt{3}+\sqrt{3}+1}\)

\(=\sqrt{4+2\sqrt{3}}\)

\(=\sqrt{\left(\sqrt{3}+1\right)^2}=\sqrt{3}+1\)

3.

\(C=\dfrac{2}{\sqrt[3]{3}-1}-\dfrac{4}{\sqrt[3]{9}-\sqrt[3]{3}+1}\)

\(=\dfrac{2\left(\sqrt[3]{9}-\sqrt[3]{3}+1\right)-4\left(\sqrt[3]{3}-1\right)}{\left(\sqrt[3]{3}-1\right)\left(\sqrt[3]{9}-\sqrt[3]{3}+1\right)}\)

\(=\dfrac{2\sqrt[3]{9}-2\sqrt[3]{3}+2-4\sqrt[3]{3}+4}{3-1}\)

\(=\sqrt[3]{9}-3\sqrt[3]{3}+3\)

1. Sắp xếp câu:

- soil / plants / if / the / will / polluted / is / die.

If the soil is polltuted, the plants will die

- on / be / there / friday / meeting / will / a.

There will be a meeting on friday

- housework / help / might / robots / do / the / think / as / i.

I think the robots might help us do housework

- rooms / in / there / house / be / four /will / my.

there will be four rooms in my house

1. Sắp xếp câu:

- soil / plants / if / the / will / polluted / is / die.

=>If the soil is polluted ,plants will die

- an / be / there / friday / meeting / will / a.

=>There will be a meeting on friday

- housework / help / might / robots / do / the / think / as / i.

=>I think robots might help as do the housework

- rooms / in / there / house / be / four /will / my.

=>There will be four rooms in my house

1, I can’t help __looking___(look)  at these new products.

2)     It usually takes me half an hour _to go___( go ) to school by bus.

3)     Would you mind __opening__ ( open ) the door ?

4)     You should give up __smoking__ ( smoke ) or you will die of cancer.

5,        We regret _to inform___ ( inform ) you that we cannot approve your .

6)        I did not know how __to operate__ (operate ) that machine.

7)        I do not have enough money __to buy__ ( buy ) this dictionary.

1)looking.

2)to go.

3)opening

4)smoking

5)informing

6)to operate

7)to buy

8)study

14)jogging

15)helping

16)to study

17)working

18)doing

19)going

8)        Peter went to France in order to _study___ ( study ) French.

14)        Robbins Started __jogging__ ( jog ) a years ago.

15)        The authority had several volunteers __to help__( help ) the victims of the fire.

16)        I was made _to study___ ( study ) when I was at school.

17)        You had better _work___ ( work ) harder because the examination is coming.

18)        I suggest __doing__ ( do ) some more mathematic puzzles.

19)        You had better ___go_ ( go ) to work on time or you will be sacked.

1) I do not need cookers ,dishwasher or washing machines .

2) Intelligent robots can help me cook meals , wash the clothers and dishes .

3) They might take care of children ​and old people .

4) I want to have ​a smart phone .

Chúc bạn học tốt!

Đáp án : B

Đây là câu điều kiện loại 1, phía giả định sẽ được chia ở thì hiện tại. Về nghĩa, chủ ngữ là “some rare plants” và động từ là “protect” vì thế vế này sẽ được chia bị động. Đáp án là “are protected”

Complete the conversation with will, won't, or might

A.Do you think it..will....rain tomorrow

B. I don,t think ..will...be sunny. It..might....be cloudy but it certainly...won't...be rainy.

A. I think I....will..go to the beach.

B. I.will....come with you or I..will...stay at home. I ...will...help my sister make a poster. She .might..need a new one.

Complete the conversation with will, won't, or might

A.Do you think it will rain tomorrow

B. I don't think will be sunny. It might be cloudy but it certainly won'tbe rainy.

A. I think I will go to the beach.

B. I will come with you or I will stay at home. I will help my sister make a poster. She might need a new one.

I mighe have married him if you hadn't told me

I mighe have married him if you hadn't told me

 if you hadn't told

1. my smart TV might help me and my friends receive and send e-mails, surf the Internet, and contact other planets

2.Jenny thinks he might live with robots

3.robots might help us do the housework in the future

4. my sister might not go with us because she is preparing for hẻ exam

5.I am not sure where to go and I might go to Da Lat for my holiday

2.Jenny thinks he might live with robots

3.Robots might help us do the housework in the future