`(-2-i5)(3-i6)`

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (-2-5i)/(3-6i) .

Prove that : [((3+2i)/(2-5i))+((3-2i)/(2+5i))] is rational .

Express the following in the form a + ib (2+ 5i)/(3-2i) + (2-5i)/(3 + 2i)

Express the result in the form x+iy, where x,y are real number i=sqrt(-1) : (i) (5+9i)-:(-3+4i) (ii) [(sqrt(5)+(i)/(2))(sqrt(5)-2i)]-:(6+5i) (iii) ((1-i)(2-i)(3-i))/(1+i) (iv) (1+3i)/((1-2i)^(2))

Perform the indicated operations and write the result in the form x+iy: (i) (-3+2i)+(-6+3i) (ii) ((1)/(2)+(7)/(2)i)-(4+(5)/(2)i) (iii) (1-2i)-i+(4-7i)-2i+(5i+3) .

Write the following in the form x+iy: (i) (3+2i)(2-i) (ii) 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25) . (iii) ((3-2i)(2+3i))/((1+2i)(2-i)) .

If z=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i,5+i,7+3i):}|,"where "i=sqrt(-1),"then"

If z=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i,5+i,7+3i):}|,"where "i=sqrt(-1),"then"

Prove that [((3+2i)/(2-5i))+ ((3-2i)/(2+5i))] is rational