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CALCUTTA BOOK HOUSE-REAL NUMBERS -Exercise 1.4 ( Long answer)
- If E be a random experiment or rolling a dice and S be its sample spac...
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- If sqrt((sqrt10 +1)/(sqrt10-1)) then find the value of (x 1/x)
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- IF x =13 + 2sqrt(42) then find the value of ( sqrtx - 1/sqrt(x))
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- simplify : (a) sqrt(98) + sqrt(8) -2 sqrt(32) (b) (sqrt3 + sqrt5...
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- Find the value of (a)(3sqrt2)/(sqrt3 + sqrt6) - (4sqrt3)/(sqrt6 + sq...
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- Simplify : (a) sqrt(y+sqrt(2xy-x^(2))) + sqrt(y-sqrt(2xy-x^(2))) (b)...
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- If a = sqrt5 + 2 then find the value of : a^(2) + 1/a^(2)
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- If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^(2) -7x+2)
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- If a x = 2 + sqrt3 then evaluate (x^(3) -5x^(2) + 5x + 9)
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- If a = (sqrt3-1)/(sqrt3+1) and ab=1 , then find (a^3 + b^3)
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- If a = (sqrt3+1)/(sqrt3-1) and ab=1 , then find (a^(2) + ab + b^(2))
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- If a = (sqrt5 +1 )/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then deter...
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- If x = (2sqrt15)/(sqrt5 + sqrt3) then evaluate (x+sqrt3)/(x-sqrt3) +...
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- If x= (sqrt5+1)/(sqrt5-1) and x = 1/y then find the value of (3x^(...
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- If a = (sqrt5 +1)/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then find the...
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- If x= 1/(2+sqrt3) and y = 1/(2-sqrt3) then evalue (1/(x+1) + 1/(y...
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- Prove that sqrtx/(sqrtx +sqrty) + sqrty/(sqrtx-sqrty) + (2sqrt(xy))/(...
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- Prove that 1/(1+sqrt2) + 1/(sqrt2 +sqrt3) + 1/(sqrt3+sqrt4) + 1/(sqrt4...
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