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1/(sqrt3+sqrt4)+1/(sqrt4+sqrt5)+1/(sqrt5...

`1/(sqrt3+sqrt4)+1/(sqrt4+sqrt5)+1/(sqrt5+sqrt6)+1/(sqrt6+sqrt7)+1/(sqrt7+sqrt8)+1/(sqrt8+sqrt9)` is equal to?

A

`sqrt3`

B

`3sqrt3`

C

`(3-sqrt3)`

D

`5-sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
c
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Simplify 1/sqrt2+1/(sqrt2+sqrt4)+1/(sqrt4+sqrt6)+1/(sqrt6+sqrt8)

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MOTHERS-NUMBER SYSTEM-O
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  2. If a= (sqrt5+1)/(sqrt5-1) and b=(sqrt5-1)/(sqrt5+1) then the value of ...

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  3. 1/(sqrt3+sqrt4)+1/(sqrt4+sqrt5)+1/(sqrt5+sqrt6)+1/(sqrt6+sqrt7)+1/(sqr...

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  4. If sqrt(32)+sqrt(72)=14.14 then sqrt(18)+sqrt(50)+sqrt(98)+sqrt(1250)=...

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  5. 1/30+1/42+1/56+1/72+1/90+1/110=?

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  6. (2-1/3)(2-3/5)(2-5/7).......(2-997/999)=?

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  7. Arrange (4)/(5), (7)/(8), (6)/(7), (5)/(6) in the ascending order :

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  8. Arrange 3/5,7/9,11/13 in descending order.

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  9. Which of the following order of the fractions is in descending form?

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  10. The simplification of (0.bar1)^2{1-9(0.1bar6)^2} is

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  11. [(1-1/3)(1-1/4)(1-1/5)(1-1/6)....(1-1/99)(1-1/100)]=?

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  12. (1-1/3)(1-1/4)(1-1/5)…(1-1/n) equals:

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  13. If 1^2+2^2+3^2+.....+x^2=((x)(x+1)(2x+1))/6, then the value of 1^2+3^2...

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  14. The value 5/(2^2. 3^2)+7/(3^2 .4^2)+9/(4^2. 5^2)+11/(5^2. 6^2)+13/(6^2...

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  15. Find the sum of 1/9+1/6+1/12+1/20+1/30+1/42+1/56+1/72

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  16. 1/3+1/15+1/35+1/63+1/99+1/143=?

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  17. Find the sum of first five terms in the sequence 1/(1xx4)+1/(4xx7)+1...

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  18. The value of (1+(1)/(2)) (1+(1)/(3))(1+(1)/(4))....(1+(1)/(120)) is

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  19. The value of (5.42x5.42+5.42xx24)/(32.71xx32.71-27.29xx27.29)div(6.54x...

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  20. The value of [(1xx3xx9+2xx6xx18+3xx9xx27+.....)/(1xx5xx25+2xx10xx50+3x...

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