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If p= (sqrt3- sqrt2) /( sqrt3+ sqrt2) an...

If `p= (sqrt3- sqrt2) /( sqrt3+ sqrt2) and q= (sqrt3+sqrt2)/( sqrt3- sqrt2) `, find the value of ` p^(2) +q^(2)`.

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The correct Answer is:
` 98 `
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KUMAR PRAKASHAN-NUMBER SYSTEMS-Skill Testing Exercise
  1. If the x= 8+ 3sqrt7 , find the value of x^(2) + (1)/(x^(2)) .

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  2. If the x= 5 +2sqrt6 find the value of x^(2) + (1)/(x^(2)) and x^(3)...

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  3. If p= (sqrt3- sqrt2) /( sqrt3+ sqrt2) and q= (sqrt3+sqrt2)/( sqrt3- sq...

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  4. If x= 2 +sqrt3. find the value of x^(3) +(1)/(x^(3))

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  5. If x = 4 +sqrt(15) . Find the value of x^(2) +(1)/(x^(2)) and x^(3...

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  6. Simplify : (3sqrt2-2sqrt3)/( 3sqrt2+2sqrt3) +(sqrt(12))/( sqrt3- s...

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  7. Simplify : (2)/(sqrt5+ sqrt3) + (1)/(sqrt3+sqrt2) - (3)/(sqrt5+sqr...

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  8. Simplify (sqrt5-2)/( sqrt5+2) - (sqrt 5+2)/( sqrt5-2)

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  9. Simplify : (5+sqrt3)/(7- 4sqrt3) -(5-sqrt3)/( 7+4sqrt3)

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  10. If a + 8 sqrt5 b = ( 8+ sqrt5)/( 8- sqrt5) , find a and b ,

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  11. Find the values of a and b . If (2sqrt6-sqrt5)/( 3sqrt5-2sqrt6)=...

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  12. Find a and b , if (4+ sqrt2)/( 2+sqrt2) = a- bsqrtb.

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  13. Find a and b . If (4+ sqrt5)/( 2+sqrt5) = a+bsqrt5.

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  14. Represent sqrt(5) on the number line.

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  15. If x= 5 and y=2 find the values of : (x^(y)+ y^(x) )

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  16. If x= 5 and y=2 find the values of : (x^(x) + y^(y)) ^(-1)

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  17. Simplify : [ 5^(2) (8^((1)/(3)) +27^((1)/(3)) )^(3) ]^((1)/(5))

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  18. Evaluate : ( -(1)/(27)) ^(-(2)/(3))

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  19. Evaluate : 3(40)^(1/3)-4 (320)^(1/3)-(5)^(1/3)

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  20. Simplify : ((25)^((3)/(2)) xx ( 343 )^((1)/(5)))/( 16^((5)/(4)) xx ...

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