11 points plz emergency

2 questions plz show steps

1. simplify the complex number expression and leave in standard form:

-5(1+2i)+3i(3-4i)

answer;

2. consider the imaginary numbers

(a) what makes the following an imaginary number?

square root -50

(b) simplify the expression below completely.

square root -50/ square root 5

(c) whats does i^22 equal

you so much i can't express how much it means to me : d

Part A

The given expression is:

We expand to get:

Note that

Part Bi)

The given expression is;

We simplify to get:

Note that:

This is now of the form , where .

This explains why it is a complex number;

Part bii)

The given expression is :

We simplify to get

Part C

We want to simplify:

We rewrite in terms of

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent