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If x=3+sqrt(8) find the value of x^2 + 1...

If `x=3+sqrt(8)` find the value of `x^2 + 1/(x^2)`

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RD SHARMA-RATIONALISATION -All Questions
  1. If x=3+sqrt(8) find the value of x^2 + 1/(x^2)

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  2. If x=(sqrt(3)+1)/2, find the value of 4x^3+2x^2-8x+7.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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