Gimplify each of the following an `2(3+4i)+i(5-6i)`

Simplify each of the following and express it in the form a + ib : {:((i),2(3+4i)+i(5-6i),(ii),(3+sqrt(-16))-(4-sqrt(-9))),((iii),(-5+6i)-(2+i),(iv),(8-4i)-(-3+5i)),((v),(1-i)^(2)(1+i)-(3-4i)^(2),(vi),(5+sqrt(-3))(5-sqrt(-3))),((vii),(3+4i)(2-3i),(viii),(-2+sqrt(-3))(-3+2 sqrt(-3))):}

Simplify the following (2−5i)+(−3+4i)+(8−3i)

Find the conjugate of each of the following : {:((i),(-5-2i),(ii),(1)/((4+3i)),(iii),((1+i)^(2))/((3-i)),(iv),((1+i)(2+i))/((3+i))),((v),sqrt(-3),(vi),sqrt(2),(vii),-sqrt(-1),(viii),(2-5i)^(2)):}

Write down the conjugate of each of the following : (i)" "(-5+sqrt(-1))" "(ii)" "(-6-sqrt(-3))" "(iii)" "i^(3)" "(iv)" "(4+5i)^(2)

Simplify and express each of the following in the form (a + ib) : (i)" "((5)/(-3+2i)+(2)/(1-i))((4-5i)/(3+2i))" "(ii)" "((1)/(1-4i)-(2)/(1+i))((1-i)/(5+3i))

simplify the following 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25)

Find the modulus of each of the following complex quantitiesm : (3-4i)(-2+sqrt5i)

Which of the following is equivalent to (4+6i)/(10-5i) ? (Note: i^(2)=-1 )

Select and write the correct answer from the given alternatives in each of the following: |(6i,-3i,1),(4,3i,-1),(20,3,i)|=x+iy then