Expert: Paul Klarreich - 11/10/2011

Question
I have a test next Monday and I am stuck on a few problems that I really need help on. Any help at all will be appreciated. Thanks.


1.   Simplify -(square root)-169
a)13i
b)–13i
c)13(square root)i
d)-13(square root)i

2.   Find /-1+i/.  /=Euclidean norm

a)1
b)(square root)-1
c)(square root)2
d)(square root)-2

Answer
Questioner: crayton
Country: Connecticut, United States
Category: Advanced Math
Private: No
Subject: I need help with some review questions
Question: I have a test next Monday and I am stuck on a few problems that I really need help on. Any help at all will be appreciated. Thanks.


1.   Simplify -(square root)-169

ALWAYS simplify  sqrt( - something) as  
sqrt(- 1)sqrt(that something) =
i sqrt(that something)

Now put back that FIRST minus and get your answer.
a)13i
b)–13i
c)13(square root)i
d)-13(square root)i

2.   Find /-1+i/.  /=Euclidean norm

The 'norm' of  x+iy is the distance from the point (x,y) to the origin.

-1 + i   is  -1(your x)  +  i * 1 (your y)

The point is (-1,1)

Take it from there.

a)1
b)(square root)-1
c)(square root)2
d)(square root)-2