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(12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal ...

`(12)/( 3+ sqrt(5 ) + 2sqrt(2))` is equal to

A

`1-sqrt(5)+sqrt(2)+sqrt(10)`

B

`1+sqrt(5)+sqrt(2)-sqrt(10)`

C

`1+sqrt(5)-sqrt(2)+sqrt(10)`

D

`1-sqrt(5)-sqrt(2)+sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
B
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KIRAN PUBLICATION-POWER, INDICES AND SURDS-Type -IV
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  2. (16)^(0.16) xx (16)^(0.04) xx (2)^(0.2) is equal to :

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  3. (12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal to

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  4. (3+(1)/(sqrt(3))+(1)/(3+sqrt(3))+(1)/(sqrt(3)-3)) is equal to

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  5. sqrt(8-2sqrt(15)) is equal to :

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  6. (0.04)^(-(1.5)) is equal to

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  7. The value of root(3)(1372)xxroot(3)(1458)divroot(3)(343) is equal to

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  8. The value of (1)/(1+sqrt(2)+sqrt(3))+(1)/(1-sqrt(2)+sqrt(3)) is :

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  9. (1)/(3-sqrt(8))-(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(...

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  10. (3sqrt(2)+2sqrt(3))/(3sqrt(2)-2sqrt(3)) is equal to

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  11. The value of (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+...

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  12. The square root of 14+6sqrt(5) is

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  13. The simplified value of (3 sqrt(2))/(sqrt(3) + sqrt(6)) - (4 sqrt(3))/...

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  14. Simplify ((3/(2+sqrt3)-2/(2-sqrt3)))/(2-5sqrt3)

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  15. (64)^(-(2)/(3))xx((1)/(4))^(-2) 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. ((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+...

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  18. ((sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)))^(2)+((sqrt(5)-sqrt(3))/(sqrt(5)+...

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  19. The value of sqrt(((sqrt12-sqrt8)(sqrt3+sqrt2))/(5+sqrt(24))) is-

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  20. Simplify : [64^((2)/(3))xx2^(-2)xx8^(0)]^((1)/(2))

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