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Rationalise the denominator in each of the following : `2/7` (ii) `2/(3sqrt(3))` (iii) `(2sqrt(7))/(sqrt(11))`

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`(i) 2/7=2/7`
`(ii) 2/(3sqrt3)`
`2/(3sqrt3)xxsqrt3/(sqrt3)`
`(2sqrt3)/(3xx3)=(2sqrt3)/9`
`(iii) (2sqrt7)/(sqrt11)`
`(2sqrt7)/(sqrt11)xx(sqrt11)/(sqrt11)`
`(2sqrt7xxsqrt11)/(sqrt11)^2`
`(2sqrt77)/11`
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RD SHARMA-RATIONALISATION -All Questions
  1. Rationalise the denominator of 5/(sqrt(3)-sqrt(5))

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  2. Rationalise the denominator of 1/(7+3sqrt(2))

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  3. Rationalise the denominator in each of the following : 2/7 (ii) 2...

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  4. Given that sqrt(5)=2. 236 approximately, find to three places of decim...

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  5. Find the value to three places of decimals, of sqrt(10) : It is giv...

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  6. Find the value to three places of decimals; of sqrt15. It is given ...

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  7. If sqrt(2)=1. 414 , and sqrt(3)=1.732 find the value of sqrt(3)+sqrt(...

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  8. Simplify each of the following by rationalising the denominator; 1...

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  9. If both a and b are rational numbers, find the values of a and b in ea...

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

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

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

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

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

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

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

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

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

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

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

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