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If a=\ sqrt(2)+1 , then find the value o...

If `a=\ sqrt(2)+1` , then find the value of `a-1/a`

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RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. Simplify : sqrt(3+2sqrt(2))

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  2. Simplify: sqrt(3-2sqrt(2))

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  3. If a=\ sqrt(2)+1 , then find the value of a-1/a

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  4. If x=2+\ sqrt(3), find the value of x+1/x

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  5. Write the rationalisation factor of sqrt(5)-\ 2

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  6. If x=3+2sqrt(2) , then the value of (sqrt(x)-1/sqrt(x)) is

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  7. √10*√15 is equal to (a) 6√5 (b) 5√6 (c) 7√5 (d) 10√5

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  8. 6^5 x 6^5 is equal to:   (a) 36^5  (b) 6^25 (c) 6^5 (d) 12^5

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  9. The rationalisation factor of sqrt(3) is (a)-sqrt(3) (b) 1/(sqrt(...

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  10. The rationalisation factor of 2+sqrt(3) is (a)2-sqrt(3) (b) sqrt(...

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

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

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

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

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

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

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

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

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

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

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