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1/sqrt18-sqrt32=
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sqrt(18) = 3*sqrt(2) sqrt(32) = 4*sqrt(2)
We do not like radical in the denominator, so we rationalize by multiplying by sqrt(2) / sqrt(2): 1/sqrt(18) = 1/[3*sqrt(2)] = sqrt(2) / 6
1/sqrt(18) - sqrt(32) = (1/6)*sqrt(2) - 4*sqrt(2) = -(23/6)*sqrt(2)
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