What is the modulus of `(sqrt(2) + i) / (sqrt (2) - i)` , where i=`sqrt(-1)`

The modulus of sqrt(2i)-sqrt(-2i) is

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

The value of (3sqrt(3)+(3^(5//6))i)^(3) is (where i=sqrt(-1) )

What is the sum of the complex numbers 2 + 3i and 4 + 8i, where i = sqrt(-1) ?

For all x > 0 , which of the following expressions is equivalent to i/(sqrt(x) - i) , where i = sqrt(-1) ?

[(sqrt(5)+i/2)(sqrt(5)-i2)]-:(6+i5)

If agt0 and blt0, then sqrt(a)sqrt(b) is equal to (where, i=sqrt(-1))

The root of the equation 2(1 + i) x^2-4(2-i) x-5-3 i = 0, where i = sqrt(-1), which has greater modulus is

Find the modulus and amplitude of (-1)/(2)+ (sqrt3)/(2)i

g(x)=asqrt(41-x^(2)) Function g is defined by the equation above where a is a nonzero real constant. If g(2i)=sqrt(5) , where i=sqrt(-1) , what is the value of a?