Find the modulus of each of the following :
`{:((i),(3+sqrt(-5)),(ii),(-3-4i),(iii),(7+24i),(iv),3i),((v),((3+2i)^(2))/((4-3i)),(vi),((2-i)(1+i))/((1+i)),(vii),5,(viii),(1+2i)(i-1)):}`

Find the modulus of the following :(1-i sqrt(3))/(2+2i)

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)):}

Find the modulus of the following: -2i (3 + i) (2 + 4i)(1 + i)

Find the modulus of the following: (1)4+i(ii)-2-3i(iii)(1)/(3-2i)

Find the modulus of the following: ((2 + 4i)(-1 + 2i)) / ((-1 -i)(3 - i))

Find the multiplicative inverse of each of the following : (i)" "(1-sqrt(3)i)" "(ii)" "(2+5i)" "(iii)" "((2+3i))/((1+i))" "(iv)" "((1+i)(1+2i))/((1+3i))

Find the multiplicative inverse of each of the following : (i)" "sqrt(5)+3i" "(ii)" "4-3i" "(iii)" "(3i-1)^(2)" "(iv)" "-i

Find the value of the following determinants,where i=sqrt-1 |(6i,3i^5),(-4i,3i^3)|

Express each of the following in the form (a + ib) and find its conjugate: {:((i),(1)/((4+3i)),(ii),(2+3i)^(2),(iii),((2-i))/((1-2i)^(2))),((iv),((1+i)(1+2i))/((1+3i)),(v),((1+2i)/(2+i))^(2),(vi),((2+i))/((3-i)(1+2i))):}