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

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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=1/(2-sqrt(3)), find the value of x^3-2x^2-7x+5

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  5. Evaluate : (15)/(sqrt(10)+sqrt(20)+sqrt(40)-sqrt(5)-sqrt(80)), is bei...

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  6. Rationalise the denominator of each of the following (i)3/(sqrt(5))...

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  7. Rationalise the denominator of each of the following (i)1/(sqrt(12)...

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  8. Rationalise the denominator of each of the following (i)(sqrt(3)+\ ...

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  9. Find the value to three places of decimals of each of the following....

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  10. Find the value to three places of decimals of each of the following....

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  11. Find the value to three places of decimals of each of the following....

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  12. Express each one of the following with rational denominator: (i)1...

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  13. Express each one of the following with rational denominator: (i)(30...

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  14. Express each one of the following with rational denominator: (i)(sqr...

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  15. Express each one of the following with rational denominator: (i)(3s...

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  16. Rationales the denominator and simplify: (i)(sqrt(3)-\ sqrt(2))/(sqrt(...

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  17. Rationalies the denominator and simplify: (i)(1+sqrt(2))/(3-2sqrt(2)) ...

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  18. Rationalise the denominator and simplify: (i) (4sqrt(3)+5sqrt(2))/(sqr...

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  19. Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sq...

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  20. Simplify: (i)(7+3\ sqrt(5))/(3+\ sqrt(5))-(7-3\ sqrt(5))/(3-\ sqrt(5))...

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