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Rationalise the denominator of 1/(7+3sqr...

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

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`(1/(7+3sqrt2))`
`(1/(7+3sqrt2))xx(7-3sqrt2)/(7-3sqrt2)`
`(7-3sqrt2)/((7+3sqrt2)(7-3sqrt2))`
`(7-3sqrt2)/((7)^2-(3sqrt2)^2)`
`(7-3sqrt2)/(49-9xx2)`
`(7-3sqrt2)/(49-9xx2)`
`(7-3sqrt2)/(49-18)`
`(7-3sqrt2)/31`
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RD SHARMA-RATIONALISATION -All Questions
  1. Rationalise the denominator of 1/(3+sqrt(2))

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  2. Rationalise the denominator of 5/(sqrt(3)-sqrt(5))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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