Express 3.25 in the form of p/q .

Correct Answer - `{:((i),(12+13i),(ii),(-1+7i),(iii),(-3+5i),(iv),"(11-9i)"),((v),(9+22i),(vi),28,(vii),(18-i),(vii),-7sqrt(3)i):}`

Correct Answer - `{:((i),((4)/(25)-(3)/(25)i),(ii),((-8)/(41)+(31)/(41)i),(iii),(1+2 sqrt(2)i),"(iv)",((-4)/(5)+(1)/(15)i)),((v),((1)/(4)-(3)/(4)i),(vi),((63)/(25)-(16)/(25)i),(vii),((-22)/(5)+(19)/(5)i),"(vii)",(-2+0i)),((ix),((-7)/(2)+(1)/(2)i),,,,,,):}`

Correct Answer - `{:((i),z=((4)/(25)-(3)/(25)i)","bar(z)=((4)/(25)+(3)/(25)i),(ii),z=(-5+12i)","bar(z)=(-5-12i)),((iii),z=((-2)/(25)+(11)/(25)i)","bar(z)=((-2)/(25)-(11)/(25)i),(iv),z=((4)/(5)+(3)/(5)i)","bar(z)=((4)/(5)-(3)/(5)i)),((v),z=((7)/(25)+(24)/(25)i)","bar(z)=((7)/(25)-(24)/(25)i),(vi),z=(-1+i)","z^(-1)=((-1)/(2)-(1)/(2)i)):}`

Correct Answer - `{:((i),z=((-1)/(2)+(1)/(2)i)","z^(-1)=(-1-i),(ii),z=(-1+i)","z^(-1)=((-1)/(2)-(1)/(2)i)),((iii),z=(-1+i sqrt(3))","z^(-1)=((-1)/(4)-(sqrt(3))/(4)i),,):}`

Correct Answer - `4, 0, 4(cos 0 + i sin 0)`

Correct Answer - `2, pi, 2(cos pi + i sin pi)`

Correct Answer - (i) `0.05 m, 0.00005 km " (ii) " 3.5 cm, 0.035 m, 0.000035 km`

Let z = -i = 0 – i a = 0, b = -1 z lies on negative imaginary Y-axis. |z| = r = \(\sqrt{a^2+b^2}=\sqrt{0^2+(-1)^2}=1\) and  θ = amp z = 270° = \(\frac{3\pi}2\)   The polar form of z...

Let z = -1 = -1 + 0.i a = -1, b = 0 z lies on negative real X-axis. |z| = r = \(\sqrt{a^2+b^2}\) = \(\sqrt{(-1)^2+0^2}\) = 1 and θ = amp z = 180° = π The...

Correct Answer - Communication