Find value of Dar Es

1.	Find value of Dar Es
Answer» 1/(root(3) + root(2)) - 2/(root(5) - root(3)) - 3/root(2) - root(5) Rationalise all terms separately = (root(3)+root(2))^2 /(3 - 2) - 2(root(5) - root(3))^2/(5-3) - 3(root(2) - root(5))/(2 - 5) = [3 + 2 + 2root(6) - (5 + 3 - 2root(15)) + (2 + 5 - 2root(10))] = 5 + 2root(6) - 8 + 2root(15) + 7 - 2root(10) = 4 + 2root(6) - 2root(10) + 2root(15)

Answer»

1/(root(3) + root(2)) - 2/(root(5) - root(3)) - 3/root(2) - root(5)

Rationalise all terms separately

= (root(3)+root(2))^2 /(3 - 2) - 2(root(5) - root(3))^2/(5-3) - 3(root(2) - root(5))/(2 - 5)

= [3 + 2 + 2root(6) - (5 + 3 - 2root(15)) + (2 + 5 - 2root(10))]

= 5 + 2root(6) - 8 + 2root(15) + 7 - 2root(10)

= 4 + 2root(6) - 2root(10) + 2root(15)

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