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If sqrt(28-6sqrt3)=sqrt3a+b (where a, b ...

If `sqrt(28-6sqrt3)=sqrt3a+b` (where a, b are rationals), value of (a+b) is

A

`-2`

B

2

C

1

D

`-1`

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ARIHANT SSC-SIMPLIFICATION-EXERCISE BASE LEVEL QUESTIONS
  1. If x=(sqrt2+1)/(sqrt2-1)andx-y=4sqrt2 then the value of (x^(2)+y^(2)) ...

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  2. If x+(a)/(x)=b then the value of (x^(2)+bx+a)/(bx^(2)-x^(3)) is

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  3. If sqrt(28-6sqrt3)=sqrt3a+b (where a, b are rationals), value of (a+b)...

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  4. If x+y=1 then the value of (x^(3)+y^(3)+3xy) is

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  5. If x = (sqrt2-1 ) ^(-(1)/(2)) then the value of (x ^(2) - (1)/(x ^(2))...

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  6. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

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  7. 10. If p+ q= 10 and pq= 5, then the numerical value of p/q + q/p will ...

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  8. If x+y=18 and xy=72, what is the vlaue of x^(2)+y^(2)?

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  9. ((m-n)^(3)+(n-r)^(3)+(r-m)^(3))/(6(m-n)(n-r)(r-m))=?

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  10. If a+b+c=14anda^(2)+b^(2)+c^(2)=96 then (ab+bc+ca)=?

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  11. (1/(1xx4)+1/(4xx7)+1/(7xx10)+1/(10xx13)+1/(13xx16))=?

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  12. (1-(1)/(2))(1-(1)/(3))(1-(1)/(4))(1-(1)/(5)).......(1-(1)/(m))=?

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  13. (2- 1/3)(2 - 3/5)(2-5/7).....(2-997/999) is equal to

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  14. The value of (1+(1)/(2))(1+(1)/(3))(1+(1)/(4))......(1+(1)/(150)) is

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  15. If x=sqrt3/2, then the value of (1+x)/(sqrt(1+x)-1)+(1-x)/(1-sqrt(1-x)...

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  16. If a+(1)/(a)=sqrt3 then the value of a^(6)+(1)/(a^(6))+2 will be

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  17. If x+(1)/(x)=2 then (2x^(2)+2)/(3x^(2)+5x+3)

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  18. If a+(1)/(b)=1andb+(1)/(c)=1, then c+(1)/(a)=?

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  19. If x+(a)/(x)=b then the value of (x^(2)+bx+a)/(bx^(2)-x^(3)) is

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  20. If x+1/x=6, find : x^4+1/(x^4)

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