logo for solving-math-problems.com
leftimage for solving-math-problems.com

Algebra - Rationalize Denominator with Complex Numbers

by CHRISTINE
(COLUMBIA, MD 21046)











































Rationalize the denominator by removing both square root signs from the denominator

Square root -2 divided by square root 12 minus square root -8

(√(-2)) ÷ (√12 - √(-8))

Comments for Algebra - Rationalize Denominator with Complex Numbers

Click here to add your own comments

Jun 10, 2013
Rationalize
by: Staff


Answer

Part I

As you know, rationalizing the denominator means to “rewrite the fraction so there are no radicals in the denominator”.


The denominator for your fraction has two terms: a + b

You can rationalize the denominator by applying the Difference of Squares formula.


The difference of squares formula states that:

(a + b)(a - b) = a² - b²

This is true regardless of whether the denominator contains complex numbers or not.

You can remove the radicals from the denominator in your problem by multiplying both the numerator and the denominator by the conjugate of the denominator: √(12) + √(-8)

This technique is demonstrated below:


Rationalize the Denominator - multiply by conjugate




Rationalize the Denominator - multiply by conjugate - 01




-------------------------------------------------

Jun 10, 2013
Rationalize
by: Staff

-------------------------------------------------



Thanks for writing.

Staff
www.solving-math-problems.com


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com