

Multiply both numerator and denominator of
by the complex conjugate of the denominator, -2+9i.

Multiplication can be transformed into difference of squares using the rule:
.

By definition, i² is -1. Calculate the denominator.

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

Do the multiplications in
.

Combine the real and imaginary parts in -10+45i+6i+27.

Do the additions in
.

Divide 17+51i by 85 to get
.

The real part of
is
.

Answer:
I’m pretty sure the square root between two Integers is when you have a non perfect square root for example the square root of 92. Since it is not perfect you have to estimate it and you use a numeric line to do it so in this case the square root of 92 would have to go in between the nearest perfect square roots from both sides which are 81 and 100. In the line you would see it as 9 and 10 and you have to estimate the value which in this case would be about 9.6
Step-by-step explanation: