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If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sq...

If `a=(2-sqrt(5))/(2+sqrt(5))` and `b=(2+sqrt(5))/(2-sqrt(5)),` find `a^2-b^2`

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If (2+sqrt(5))/(2-sqrt(5)) =x and (2-sqrt(5))/(2+sqrt(5)) =y , find the value of x^(2)-y^(2) .

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : xy

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : x^(2)

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : y^(2)

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : x^(2)+ y^(2)+xy

Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+\ 2)/(sqrt(5)-\ 2)

Find sqrt(2+3sqrt(-5)) + sqrt(2-3sqrt(-5))

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

2sqrt5 - sqrt5 = sqrt5

Simplify: (2sqrt(3)+sqrt(5))(2sqrt(3)-sqrt(5))

RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. If x=1-sqrt(2), find the value of (x-1/x)^3

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  2. If x=3-2sqrt(2),find x^2+1/(x^2)

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  3. If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^2-b...

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

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  5. Show that: 1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sq...

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  6. Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (i...

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

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  8. Prove that: 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+\ sqrt(4))+1/...

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  9. Simplify : (i)(5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2)...

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  10. Simplify the following expressions: (i)(3+sqrt(3))(2+sqrt(2)) (ii...

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  11. Simplify each of the following: (i)(16)^(1/5)xx(2)^(1/5) (ii) (243)...

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  12. Simplify the following expressions: (i)(11+sqrt(11))(11-sqrt(11)) ...

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  13. Simplify the following expressions: (i) (4+sqrt(7))(3+sqrt(2)) (ii)...

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  14. Simplify each of the following: (i) 4 3×16 3 (ii) (1250 4)/(2 4)

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

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  16. Rationalise the denominator of 2/(sqrt(3)) .

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  17. Simplify the following expressions: (i)(sqrt(3)+sqrt(7))^2 (ii) ...

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  18. Simplify each of the following: (i)root(5)(16)xxroot(5)(2) (ii) ro...

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  19. Simplify the following expressions: (i)(3+sqrt(3))\ (2+sqrt(2)) (...

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  20. Simplify: (i)(5+\ sqrt(5))\ (5-\ sqrt(5)) (ii) (3+2sqrt(2))\ (3-2...

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