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If sqrt(2)=1. 414 find the value of sqrt...

If `sqrt(2)=1. 414` find the value of `sqrt(3)\/ sqrt(6)` upto three places of decimals.

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To find the value of \(\frac{\sqrt{3}}{\sqrt{6}}\) up to three decimal places, we can follow these steps: ### Step 1: Simplify the Expression We start with the expression \(\frac{\sqrt{3}}{\sqrt{6}}\). We can simplify this by expressing \(\sqrt{6}\) in terms of \(\sqrt{3}\) and \(\sqrt{2}\): \[ \sqrt{6} = \sqrt{3 \times 2} = \sqrt{3} \cdot \sqrt{2} \] ...
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RD SHARMA-RATIONALISATION -All Questions
  1. Find the value of three places of decimals, of each of following: It...

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  2. Find the value of three places of decimals; of each of the following...

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  3. If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three place...

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  4. Simplify each of the following by rationalising the denominator: 1/(...

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  5. Simplify each of the following by rationalizing the denominator: I(I...

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  6. If both a and b are rational numbers, find the values of a and b in e...

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  7. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

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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. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

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  10. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

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  11. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

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  12. If both a\ a n d\ b are rational numbers, find the values of a\ a n d\...

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  13. Simplify : 3/(5-sqrt(3))+2/(5+\ sqrt(3))

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  14. Simplify: (4+\ sqrt(5))/(4-sqrt(5))+(4-\ sqrt(5))/(4+\ sqrt(5))

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  15. Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+\ 2)/(sqrt(5)-\ 2)

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  16. Prove that: 1/(3-sqrt(8))-1/(sqrt(8)-\ sqrt(7))+1/(sqrt(7)-\ sqrt(6))-...

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

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

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

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