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The value of (3+2sqrt(2))^(-3)+(3-2sqrt(...

The value of `(3+2sqrt(2))^(-3)+(3-2sqrt(2))^(-3)` is

A

198

B

180

C

108

D

189

Text Solution

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The correct Answer is:
A
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KIRAN PUBLICATION-POWER, INDICES AND SURDS-Type -V
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  2. If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2) then the value of a is

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  3. The value of (3+2sqrt(2))^(-3)+(3-2sqrt(2))^(-3) is

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  4. Solve for x : 3^(x)-3^(x-1)=486

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  5. A tap is dripping at a constant rate into a container. The level (Lcm)...

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  6. Arranging the following in ascending order 3^(34), 2^(51), 7^(17) we g...

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  7. If (2^(3))^(2)=4^(x) then 3^(x) is equal to

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  8. The value of [(0.87)^(2)+(0.13)^(2)+(0.87)xx(0.26)]^(2013) is

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  9. The mean of 1^(3), 2^(3), 3^(3), 4^(3), 5^(3), 6^(3), 7^(3) is

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  10. If x=3^((1)/(3))-3^(-(1)/(3)), then (3x^(3)+9x) is equal to

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  11. The exponential form of sqrt(sqrt(2)xxsqrt(3)) is

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  12. The quotient when 10^(100) is divided by 5^(75) is

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  13. If m^(n)=169 what is the value of (m+1)^((n-1)) ?

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  14. If a=b^(p), b=c^(q), c=c^(r ) then pqr is

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  15. Which of the following numbers is not a factor of 5^(p)7^(q) (p ne 0, ...

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  16. What will be the remainder when 252^(126)+244^(152) is divided by 10 ?

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  17. If 4^((x+y))=256 and (256)^((x-y))=4, what are the value of x and y ?

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  18. The unit's digit of the number 6^(256)-4^(256) is

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  19. What is the value of positive square root of (69+28sqrt(5)) ?

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  20. 3^(11)+3^(12)+3^(13)+3^(14) is divisible by

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