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Find the value of 1/(1+sqrt2) + 1/(sqrt2+sqrt3) + 1/(sqrt3+2).

Asqrt3
B1
C2
Dsqrt2
Answer & Solution
Correct answer: B. 1
The terms rationalise to (sqrt2-1) + (sqrt3-sqrt2) + (2-sqrt3), which telescopes to 1.
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