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Simplify : sqrt2 - sqrt(18) + sqrt(27) -...

Simplify `: sqrt2 - sqrt(18) + sqrt(27) - sqrt(32)`

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`5sqrt3 - 7sqrt2`
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Simplify : sqrt12 + sqrt18 + sqrt27 - sqrt32

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Rationalise the denominator: (a) (1)/(root(3)(3) + root(3)(2)) , (b) (2)/(sqrt5 + sqrt3 + sqrt2) , (c) (x^(2))/(sqrt(x^(2) + y^(2)) - y) , (d) (1)/(sqrt6 + sqrt5 - sqrt11) (e) (sqrt(x + 2y) - sqrt(x -2y))/(sqrt(x + 2y) + sqrt(x - 2y)) , (f) (sqrt10 + sqrt5 - sqrt3)/(sqrt10 - sqrt5 + sqrt3)

sqrt27 + 3 sqrt75 - sqrt(243) + sqrt48 =

CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. If one of the roots of the quadratic equation be x^2 - (1+b)x+6 = 0 be...

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  2. If a/2=b/3 =c/4 =(3a-ab+4c)/p, then find the value of p.

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  3. Simplify : sqrt2 - sqrt(18) + sqrt(27) - sqrt(32)

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  4. If x prop y^2 and y = 2a, when x = a, then find the relation between x...

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  5. AB is a diameter of the circle with centre at O. R is any point on the...

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  6. Find the roots of the equation by the method of completing the square ...

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  7. The lengths of sides of three cubes are 3 m, 4 m 5 m respectiveluy. A ...

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  8. If 0^@ lt theta lt 90^@ , then find the least value of (9 tan^2 theta ...

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  9. Fing the value of tan 1^@ tan2^@ tha^@ ……………. Tan89^@.

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  10. If ui = (xi-25)/10, sumfiui = 20 and sumfi = 100 then find the value o...

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  11. At the rate of 10% compound interest per annum fird the principal of ...

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  12. Puja, Uttam and Bireendra started a pertnership business with capital ...

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  13. Solve : 1/x - 1/(x+b)= 1/a -1/(a+b)[ x ne 0, -b]

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  14. If the cost of pens decreses by ₹ 6 per dozen then 3 more pens can be ...

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  15. y is the sum of two variables, one of which vaaries directly with the ...

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  16. An agricultural co-operative society of village Pachla has purchased a...

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  17. If (a+b-c)/(a+ b) =(b+c-a)/(b+c) = (c+a-b)/(c+a) and a+b+cne 0, then p...

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  18. If x = (4ab)/(a+b), then find the value of (x+2a)/(x-2a) +(x+2b)/(x-...

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  19. State and prove Pythangoras theorem.

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  20. Prove that the opposite angles of a cyclic quadrilateral are suplemena...

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