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

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

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Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

Rationales the denominator and simplify: (i) (sqrt(3)-\ sqrt(2))/(sqrt(3)\ +\ sqrt(2)) (ii) (5+2\ sqrt(3))/(7+4\ sqrt(3))

Simplify : (i) (sqrt(5)+sqrt(2))^2 (ii) (sqrt(11)-sqrt(5))^2

Simplify : (i) (sqrt(5)+sqrt(2))^2 (ii) (sqrt(11)-sqrt(5))^2

Simplify: (2sqrt(3)-sqrt(2))/(2sqrt(3)+sqrt(2))

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

Rationalise the denominator and simplify: (i) (4sqrt(3)+5sqrt(2))/(sqrt(48)+\ sqrt(18)) (ii) (2sqrt(3)-\ sqrt(5))/(2\ sqrt(2)+\ 3sqrt(3))

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RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. If (sqrt(3)-1)/(sqrt(3)+1)=x+ysqrt(3) , find the value of x\ a n d\ y

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  2. If x=\ sqrt(2)-1 , then write the value of 1/x

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

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

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

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

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

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

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  9. √10*√15 is equal to (a) 6√5 (b) 5√6 (c) 7√5 (d) 10√5

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  10. 6^5 x 6^5 is equal to:   (a) 36^5  (b) 6^25 (c) 6^5 (d) 12^5

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

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

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

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

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

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

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

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

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

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

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