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Show that: 1/((3-sqrt8))-1/((sqrt8-sqrt7...

Show that:
`1/((3-sqrt8))-1/((sqrt8-sqrt7))+1/((sqrt7-sqrt6))-1/((sqrt6-sqrt5))+1/((sqrt7-6))=5`

A

5

B

3

C

1

D

0

Text Solution

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The correct Answer is:
A
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Show that: 1/((3-sqrt8))-1/((sqrt8-sqrt7))+1/((sqrt7-sqrt6))-1/((sqrt6-sqrt5))+1/((sqrt5-2))=5

(1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7)))

( Show that: )/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5

Let T = (1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7)) +(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)+2) then-

(1)/(sqrt(7)-sqrt(6))

(1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5

(1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5

(1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7))-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2)=5

UPKAR PUBLICATION -PRACTICE SET 1-PART-III QUANTITATIVE APTITUDE
  1. What is the average of the first six (positive) odd numbers each of wh...

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  2. A businessman bought an article and sold it at a loss of 5%. If he had...

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  3. Show that: 1/((3-sqrt8))-1/((sqrt8-sqrt7))+1/((sqrt7-sqrt6))-1/((sqrt6...

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  4. A and B can do a piece of work in 8 days. B and C can do it in 24 days...

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  5. A is thrice as good a workman as B and therefore is able to finish a j...

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  6. In measuring the sides of a recangle, there is an excess of 5% on one ...

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  7. An equilateral triangle and a regular hexagon has same perimeter. Find...

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  8. A sphere and a cube have equal surface areas. The ratio of the volu...

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  9. The difference between a discount of 35% and two successive discounts ...

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  10. Ratio between the monthly incomes of A and B is 9 : 8 and the ratio be...

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  11. If x:y= 3: 4, then the value of (5x - 2y)/(7x + 2y) =

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  12. The average of three numbers is 135. The largest number is 195 and the...

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  13. If I purchased 11 books for 100 and sold 10 books for 110, the percent...

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  14. A cloth merchant sold half of his cloth at 40% profit, half of re main...

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  15. In an examination there were 1100 Boys and 900 Girls 50% of the boys a...

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  16. When the price of cloth was reduced by 25% the quantity of cloth sold ...

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  17. Walking at the rate of 4km an hour, a man covers a certain distance in...

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  18. In a certain time, the ratio of a certain principal and the simple int...

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  19. Study the following graph and answer questions In how many of...

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  20. Study the following graph and answer questions The average prod...

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