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Express as an equivalent fraction with r...

Express as an equivalent fraction with rational denominator.
`(i) (3+sqrt(6))(5sqrt((3))+2sqrt((12))-sqrt((32))-sqrt((50)))`
`(ii) sqrt((6+2sqrt(3))/(33-19sqrt((3))))`

Text Solution

Verified by Experts

The correct Answer is:
(i) `sqrt(3)` (ii)`3sqrt(3)+5`
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ML KHANNA-LOGARITHMS AND SURDS-Problem Set (4)
  1. Express as an equivalent fraction with rational denominator. (1)/(sq...

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  2. Express as an equivalent fraction with rational denominator. (15)/(s...

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  3. Express as an equivalent fraction with rational denominator. (i) (3+...

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

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

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  6. (12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal to

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the square root of a+x+sqrt(2ax+x^(2)).

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  19. Find the square root of (i) (3//2)(x-1)+sqrt(2x^(2)-7x-4) (ii) 1-x...

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  20. Find the square root of 1+a^(2)+sqrt(1+a^(2)+a^(4))

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