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If x=(sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt...

If `x=(sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))` and `y=(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))` , then `x+y+x y=` (a) 9 (b) 5 (c) 17 (d) 7

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RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. The rationalisation factor of 2+sqrt(3) is (a)2-sqrt(3) (b) sqrt(...

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  2. If x=sqrt(5)+\ 2, then x-1/x equals (a)2sqrt(5) (b) 4 (c) 2 (...

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  3. If (sqrt(3)-\ 1)/(sqrt(3)+\ 1)=a-b\ sqrt(3) , then (a)a=2,\ b=1 (b)...

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  4. the simplest rationalising factor of 3√500 (a)3√2 (b)3√5 (c)√3 (...

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  5. The simplest rationalising factor of sqrt(3)+\ sqrt(5) is (a)sqrt(3)-...

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  6. The simplest rationalising factor of 2sqrt(5)-sqrt(3) is (a)2sqrt(5)+...

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  7. If x=2/(3+sqrt(7)) , then (x-3)^2= (a)1 (b) 3 (c) 6 (d) 7

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  8. If x=7+4sqrt(3)\ \ a n d\ x y=1 , then 1/(x^2)+1/(y^2)=? (a) 64 ...

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  9. If x+\ sqrt(15)=4, then x+1/x= (a)2 (b) 4 (c) 8 (d) 1

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  10. If x=\ ^3sqrt(2+sqrt(3)) , then x^3+1/(x^3)= (a) 2 (b) 4 (c) 8 (d...

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  11. If x=(sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3)) and y=(sqrt(5)-\ sqrt(3))...

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  12. If x=(sqrt(3)-\ sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+\ sqrt(2))/(...

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  13. The value of sqrt(3-2\ sqrt(2)) is (a)sqrt(2)-1 (b) sqrt(2)+1 ...

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  14. The value of sqrt(5+2sqrt(6)) is (a)sqrt(3)-sqrt(2) (b) sqrt(3)+s...

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  15. If sqrt(2)=1. 4142 , then sqrt((sqrt(2)-1)/(sqrt(2)+1)) is equal to (a...

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  16. If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three place...

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  17. The positive square root of 7+sqrt(48)

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  18. 1/(sqrt(9)-\ sqrt(8)) is equal to: (a)3+2sqrt(2) (b) 1/(3+2sqrt(2...

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  19. The value of (sqrt(48)+\ sqrt(32))/(sqrt(27)+\ sqrt(18)) is (a)4/3 ...

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  20. If x=sqrt6+sqrt5 then find x^2+1/x^2-2

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