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Determine if the expression 1 + 2 2 + 3 3 1 + 2 + 3 the fraction with numerator 1 plus 2 the square

Determine if the expression
1+22+331+2+3the fraction with numerator 1 plus 2 the square root of 2 end-root plus 3 the square root of 3 end-root and denominator 1 plus 2 plus 3 end-fraction
1+22+331+2+3
can be written in the form
a+b2+c3a plus b the square root of 2 end-root plus c the square root of 3 end-root
+2+3
where
aa
,
bb
, and
cc
are rational numbers.

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