Posted by Nayla on Monday, November 23, 2009 at 10:35am.
Does (7/4i1) symplify to be 7(1+4i)/18

Math  drwls, Monday, November 23, 2009 at 11:43am
Not quite. Your parenthese seem to be in the wrong place, and your math is wrong.
7/(4i1)= 7(4i+1)/[(4i+1)(4i1)]
= 7(4i +1)/(17)
= (7/17)(1+4i)

Math  Nayla, Monday, November 23, 2009 at 11:45am
These are complex numbers by the way.

Math  Nayla, Monday, November 23, 2009 at 11:45am
Thanks

Math  Nayla, Monday, November 23, 2009 at 11:54am
why is the 1+4i on the side of the fraction and not on the top with the 7

Math  MathMate, Monday, November 23, 2009 at 1:11pm
(7/17)(1+4i) is the same as 7(1+4i)/17.
I too think it is simpler to write it as DRWS did, where the numeric fraction precedes the algebraic part.

Math  Jaison, Monday, November 23, 2009 at 1:18pm
is (7/17)(28/17i) the same thing

Math  MathMate, Monday, November 23, 2009 at 2:42pm
"is (7/17)(28/17i) the same thing "
No it is not.
(7/17)*(1+4i)
=(7/17)*1 + (7/17)*4i
=(7/17) + 28i/17
But this is not a simplified version.
In any case the object is to remove the "i" from denominator, or "rationalizing the denominator". Some teachers may consider it incomplete if squareroot signs or "i" appear in the denominator.
The reason that the numerator and denominator were multiplied by (1+4i) was to create the product (1+4i)*(14i)=17 in the denominator, thereby rationalizing it.
Answer This Question
Related Questions
 math  symplify the expression if possible: e^3
 mzth  how to symplify fractions fast
 pre algebra  symplify the following expression (3z)with exponent 0
 Math  Symplify (radical x/8) is the answer x (radical 2)/4
 Math  Symplify (radical x/8) is the answer x (radical 2)/4 i put it to be (x/2...
 English  I'm worried about my math. 1. Why don't you buy a math self teaching ...
 Math...For All Math Tutors  I would like to know how many of the people ...
 math  all i can say is math stinx dont mess with math. without math, a lot of ...
 math  What is temperature when you do math. In seventh grade math is hard and I...
 math  I just do not understand how to figure this out. Find the number of ...
More Related Questions