# 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

 Jun 10, 2013 Rationalize by: Staff AnswerPart IAs 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: -------------------------------------------------

 Jun 10, 2013 Rationalize by: Staff -------------------------------------------------Thanks for writing.Staff www.solving-math-problems.com