1.

Express with rational denominator1/(3-sqrt(-2))

Answer»

SOLUTION :`1/(3-sqrt(-2))=1/(3-sqrt(2I))=(3+sqrt(2i))/((3-sqrt(2i))(3+sqrt(2i))`
`=(3+sqrt(2i))/(9-2i^2)=(3+sqrt(2i))/(9+2)=(3+isqrt2)/(11)`


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