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If x=3+2sqrt(2) then find sqrt(x)-1/sqrt...

If `x=3+2sqrt(2)` then find `sqrt(x)-1/sqrt(x)`

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RS AGGARWAL-SURDS AND INDICES-All Questions
  1. Find the largest from among root(4)6,\ sqrt(2)\ and\ root(3)4.

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  2. Find the square root of (3+sqrt(5)) .

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  3. If x=3+2sqrt(2) then find sqrt(x)-1/sqrt(x)

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  4. If 2^x=3^y=6^(-z) find the value of (1/x+1/y+1/z)

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  5. Given t=2+root(3)4+root(3)2, determine the value of t^3-6t^2+6t-2.

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  6. root(3)5 is a surd of the order a. 1/3 b. 1 c. 2 d. 3

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  7. 5^0xx8=? 0 b. 8 c. 40 d. 200

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  8. Which of the following are equal in value? I. 4^1 II. 1^4 III. 4^0 IV....

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  9. If 289=17^(1/5x),\ then\ x=? a. 2/5 b. 8 c. 16 d. 32

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  10. (81)^4-:(9)^5=? 9 b. 81 c. 729 d. 6561

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  11. The value of ((9^2xx18^4)/(3^(16))) is a. 3/2 b. 4/9 c. (16)/(81) d. ...

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  12. [4^3xx5^4]-:4^5=? 29. 0825 b. 30. 0925 c. 35. 6015 d. 39. 0625

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  13. 9^3 xx 6^2 -: 3^3=? a. 948 b. 972 c. 984 d. 1012

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  14. (19)^(12)xx(19)^8-:(19)^4=(19)^? 6 b. 8 c. 12 d. 24

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  15. (64)^4-:(8)^5=? (8)^8 b. (8)^2 c. (8)^(12) d. (8)^4

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  16. 1000^12 -:10^30=? a. 1000^2 b. 10 c. 100 d. 100^2 e. None of these

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  17. 3^8 xx 3^4=? a. 27^3 b. 27^5 c. 729^2 d. 729^3 e. None of these

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  18. (343xx49)/(216xx16xx81)=? (7^5)/(6^7) b. (7^5)/(6^8) c. (7^6)/(6^7) d...

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  19. (16xx32)/(9xx27xx81)=? (2/3)^9 b. (2/3)^(11) c. (2/3)^(12) d. (2/3)^(...

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  20. 9^3xx(81)^2-:(27)^3=(3)^? 3 b. 4 c. 5 d. 6

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