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Given that sqrt(5)=2. 236 approximately,...

Given that `sqrt(5)=2. 236` approximately, find to three places of decimals the value of `2/(sqrt(5))` .

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RD SHARMA ENGLISH-RATIONALISATION -All Questions
  1. Rationalise the denominator of 1/(7+3sqrt(2))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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