Evaluate..
IF YOU CAN! MATHS SIMPLE
Attachments:
Answers
Answered by
2
Answer:
-19/20
Step-by-step explanation:
Each term can be changed as follows:
- 1/(1√2+2√1)=(2√1-1√2)/(4-2)= 1-√2/2
- 1/(2√3+3√2)=(3√2-2√3)/(2√3+3√2)(3√2-2√3)=(3√2-2√3)/(18-12)=√2/2-√3/3
...
- 1/(399√400+400√399)=...= √399/399-√400/400
Added up all terms get cancelled apart from the very first and very last:
- 1- √400/400= 1- 20/400= 1- 1/20= -19/20
Answered by
2
Answer:
-19/20
Step-by-step explanation:
Each term can be changed as follows:
1/(1√2+2√1)=(2√1-1√2)/(4-2)= 1-√2/2
1/(2√3+3√2)=(3√2-2√3)/(2√3+3√2)(3√2-2√3)=(3√2-2√3)/(18-12)=√2/2-√3/3
...
1/(399√400+400√399)=...= √399/399-√400/400
Added up all terms get cancelled apart from the very first and very last:
1- √400/400= 1- 20/400= 1- 1/20= -19/20
Step-by-step explanation:
If it helps then please give me dj alok when I will ask
Similar questions