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

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

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To rationalize the denominator of the expression \( \frac{1}{7 + 3\sqrt{2}} \), we will follow these steps: ### Step 1: Identify the Conjugate The conjugate of the denominator \( 7 + 3\sqrt{2} \) is \( 7 - 3\sqrt{2} \). ### Step 2: Multiply the Numerator and Denominator by the Conjugate We will multiply both the numerator and the denominator by the conjugate: ...
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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: (i)2/(sqrt(7))...

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

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  6. Find the value of three places of decimals, of each of following: It...

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

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

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

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

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

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

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

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

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

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

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

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

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

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