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Find the value to three places of decima...

Find the value to three places of decimals, of `sqrt(10)` : It is given that `sqrt(2)=1. 414 ,sqrt(3)=1. 732` , and `sqrt(5)=2. 236` (approx.)

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sqrt2=1.414 then 5/sqrt2=

RD SHARMA-RATIONALISATION -All Questions
  1. Rationalise the denominator in each of the following : 2/7 (ii) 2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))

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  20. Simplify the following: (16)^(1/5)xx(2)^(1/5)

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