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Simplify 1/(sqrt(100)-sqrt(99))-1/(sqr...

Simplify
`1/(sqrt(100)-sqrt(99))-1/(sqrt(99)-sqrt(98))+1/(sqrt(98)-sqrt(97))-1/(sqrt(97)-sqrt(96))+........+1/(sqrt(2)-sqrt1)`

A

`0`

B

`9`

C

`10`

D

`11`

Text Solution

Verified by Experts

The correct Answer is:
D
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KIRAN PUBLICATION-POWER, INDICES AND SURDS-Type -IV
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  2. (3^(0)+3^(-1))/(3^(-1)-3^(0)) is simplified to

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  3. Simplify 1/(sqrt(100)-sqrt(99))-1/(sqrt(99)-sqrt(98))+1/(sqrt(98)-sq...

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  4. [(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))] in simpl...

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  5. [root(3)(2)xxsqrt(2)xxroot(3)(3)xxsqrt(3)] is equal to

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  6. The value of (256)^(0.16)xx(256)^(0.09) is :

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  7. [8-((4^((9)/(4))sqrt(2.2^(2)))/(2sqrt(2^(-2))))^((1)/(2))] is equal to

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  8. (3sqrt(2))/(sqrt(6)+sqrt(3))-(2sqrt(6))/(sqrt(3)+1)+(2sqrt(3))/(sqrt(6...

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  9. (4)^(0.5)xx(0.5)^(4) is equal to :

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  10. If a=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and b=(sqrt(3)+sqrt(2))/(sqrt...

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  11. The value of sqrt(40+sqrt(9sqrt(81))) is

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  12. (1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(...

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  13. Simplified form of [(root(5)(x^(-3//5)))^(-5//3)]^(5) is

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  14. If 1^(3)+2^(3)+…. + 10^(3)=3025, then the value of 2^(3)+4^(3)+…. + 20...

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  15. (3+sqrt(6))/(5sqrt(3)-2sqrt(12)-sqrt(32)+sqrt(50)) is equal to

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  16. ((1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))) simplifi...

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  17. When simplified equal to (256)^(-(4^(-(3)/(2)))) is

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  18. {(-2)^((-2))}^((-2)) is equal to :

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  19. (sqrt(2)+sqrt(7-2sqrt(10))) is equal to

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  20. (256)^(0.16)xx(4)^(0.36) is equal to

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