1.

Express with rational denominator(3+2sqrt(-1))/(2-5sqrt(-1))+(3-2sqrt(-1))/(2+5sqrt(-1))

Answer»

SOLUTION :`(3+2sqrt(-1))/(2-5sqrt(-1))+(3-2sqrt(-1))/(2+5sqrt(-1))=(3+2i)/(2-5i)+(3-2i)/(2+5i)`
`((3+2i)(2+5i)+(3-2i)(2-5i))/((2-5i)(2+5i))`
`(6+15i+4i+10i^2+6-15i-4i+10i^2)/(4-15i^2)`
`(12-20)/(4+25)=-8/(29)`


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