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

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

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To simplify the expression \( \sqrt{3 - 2\sqrt{2}} \), we will follow these steps: ### Step 1: Identify the expression We start with the expression: \[ \sqrt{3 - 2\sqrt{2}} \] ...
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RD SHARMA-RATIONALISATION -All Questions
  1. If x=\ sqrt(2)-1 , then write the value of 1/x

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

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

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

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

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

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

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  8. sqrt(10) xx sqrt(15) is equal to     (a) 56 (b) 65 (c) 30 (d)...

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  9. 6^5 x 6^5 is equal to:   (a) 36^5  (b) 6^25 (c) 6^5 (d) 12^5

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

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

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

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

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  14. The simplest rationalising factor of root(3)(500) is 2 3 (b) 5 3 ...

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

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

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

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

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

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  20. If x=root(3)(2+sqrt(3)) , then x^3+1/(x^3)= 2 (b) 4 (c) 8 (d) 9

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