1. ## imaginary numbers help!!!

Simplify the expression i2000049
a. -1 b. –i c. i d1/i

The simplify ( -i + 2)2..
a. 3 – 4i b 4 -3i c. 4i d. 3i

The value of [(√-144) – 12i)]is ______.
a. 0 b.-1 c.1 d. 12i

Simplify √-49 - √-36.
a. 4i√2 b. 2i√2 c. 3i√2 d.i

Which is the sum of (23i - 6) and (-√100 + 16i)?
32i + 16 b. 30i + 24 c. 31i +14 d. 39i – 16

What is the equivalent of i16 + i48?
a. 2 b. -1 c. –i d. i

What is the equivalent value of the expression (i17 + i27)2?
a. 16 b. 12 c. 0 d. 8

Which is the value of ( 5 – i)2?
a. -24 + 10i b. 24 - 10i c. -24 – 10i d. 24 + 10i

What is the equivalent value of the expression (2 + 2 i)2?
a. 2√2cis45 b. 2√2cis90 c. 4√2cis45

thanks a lot!!please provide the solutions!

2. Originally Posted by pathurr19

Simplify the expression i2000049
a. -1 b. –i c. i d1/i
Every time you get i*i*i*i you really just have a 1. I'm interpreting your question as i^(20000049). Basically, just divide the power by 4 and change your answer into i^(remainder). Then simplify from there.

The simplify ( -i + 2)2..
a. 3 – 4i b 4 -3i c. 4i d. 3i
Pretend i is a variable and follow the normal rules for distribution. Then simplify any i values with powers.

The value of [(√-144) – 12i)]is ______.
a. 0 b.-1 c.1 d. 12i
simplify the root, it'll work out well from there.

Simplify √-49 - √-36.
a. 4i√2 b. 2i√2 c. 3i√2 d.i
simplify each radical and then look to combine like terms

Which is the sum of (23i - 6) and (-√100 + 16i)?
32i + 16 b. 30i + 24 c. 31i +14 d. 39i – 16
the question is wordy. just change the 'and' into a '+' and you're all set.

What is the equivalent of i16 + i48?
a. 2 b. -1 c. –i d. i
I'll assume those numbers are exponents, otherwise, this question is too easy. Look up my hint for solving i to a ridiculous power and use it here.

is the equivalent value of the expression (i17 + i27)2?
a. 16 b. 12 c. 0 d. 8
simplify each i expression and then square what you get when you combine like terms.

Which is the value of ( 5 – i)2?
a. -24 + 10i b. 24 - 10i c. -24 – 10i d. 24 + 10i

What is the equivalent value of the expression (2 + 2 i)2?
a. 2√2cis45 b. 2√2cis90 c. 4√2cis45
break out your distribution skills (FOIL) and simplify i terms with powers.

thanks a lot!!please provide the solutions!
We're not here to do your homework. There are some hints. You probably have a textbook. You should consider reading it and then attempting the problems.

I'm a high school math teacher. We did this material a few months ago and you should know that if you are a master of algebra 1, this lesson will be very easy for you.