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((2)/(sqrt(6)+2)+(1)/(sqrt(7)+sqrt(6))+(...

`((2)/(sqrt(6)+2)+(1)/(sqrt(7)+sqrt(6))+(1)/(sqrt(8)-sqrt(7))+2-2sqrt(2))` is equal to

A

`0`

B

`2sqrt(2)`

C

`sqrt(6)`

D

`2sqrt(7)`

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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. (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))+(sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5)...

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

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  4. By how much does (sqrt(12)+sqrt(18)) exceed (2sqrt(3)+2sqrt(2)) ?

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  5. The value of (1)/(sqrt(2)+1)+(1)/(sqrt(3)+sqrt(2))+(1)/(sqrt(4)+sqrt(3...

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  6. [{(-(1)/(2))^(2)}^(-2)]^(-1) is equal to :

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  7. 2root(3)(40)-4root(3)(320)+3root(3)(625)-3root(3)(5) is equal to

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  8. The value of (1-sqrt(2))+(sqrt(2)+sqrt(3))-(sqrt(3)-sqrt(4))-...+(sqrt...

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  9. (0.3555xx0.5555xx2.025)/(0.225xx1.7775xx0.2222) is equal to

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  10. The simplified value of the following expression is : (1)/(sqrt(11-2sq...

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  11. Simplify : (0.05xx0.05xx0.05-0.04xx0.04xx0.04)/(0.05xx0.05+0.002+0.04x...

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  13. Evaluate sqrt(20)+sqrt(12)+root(3)(729)-(4)/(sqrt(5)-sqrt(3))-sqrt(81)

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  14. Let a=(1)/(2-sqrt(3))+(1)/(3-sqrt(8))+(1)/(4-sqrt(15)) Then we have .

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  15. If a,b are rationals and asqrt(2)+bsqrt(3) =sqrt(98)+sqrt(108)-sqrt(...

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  16. If root(3)(a)=root(3)(26)+root(3)(7)+root(3)(63), then-

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  17. The value of (sqrt(72)xxsqrt(363)xxsqrt(175))/(sqrt(32)xxsqrt(147)xxsq...

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  19. 2+(6)/(sqrt(3))+(1)/(2+sqrt(3))+(1)/(sqrt(3)-2) equals to

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  20. If (4+3sqrt(3))/(sqrt(7+4sqrt(3)))=A+sqrt(B) then B-A is

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