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Express as an equivalent fraction with r...

Express as an equivalent fraction with rational denominator.
`(1)/(2-sqrt((2))+sqrt((3))-sqrt((6)))`

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The correct Answer is:
`-2-sqrt(2)-sqrt(3)-sqrt(6)`
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ML KHANNA-LOGARITHMS AND SURDS-Problem Set (4)
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  5. Express as an equivalent fraction with rational denominator. (15)/(s...

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  7. Express as an equivalent fraction with rational denominator. (sqrt(2...

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  8. Express as an equivalent fraction with rational denominator. ([sqrt(...

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  9. (12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal to

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  10. Prove the following identities. ((a+2)^(2)(a-3)+(a^(2)-4)sqrt(a^(2)-...

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  11. Prove the following identities. (n^(3)-3n+(n^(2)-1)sqrt(n^(2)-4)-2)/...

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  12. Express with rational denominator : (4)/(root3((9))-root3(3)+1)

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  13. Express with rational denominator : (sqrt(8)+root3(4))/(sqrt((8))-ro...

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  14. Find the square root of (A) 8+2sqrt(15), (B)49+20sqrt(6)

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  15. Find the square root of (A) 6-sqrt(35) (B) 5sqrt(6)+12.

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  16. Find the square root of sqrt(27)+sqrt(15).

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  17. Find the square root of sqrt(18)-sqrt(16).

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  18. Find the square root of sqrt(32)-sqrt(24).

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  19. Find the square root of (i) (2+sqrt(3))/(2), (ii) 12-sqrt(68+48sqrt(...

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  20. Find the square root of 2x-1+2sqrt(x^(2)-x-6).

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