(5 - sqrt 6) /( 5 + sqrt 6)

Question

thank you in advance for guidance- 

 

mo

Answer 1

In order to simplify this problem, we must multiply the fraction by 5-√6/5-√6 in order to eliminate the radical (the square root sign) from the denominator.  This results in a numerator of (5-√6)(5-√6) and a denominator of (5+√6)(5-√6).  The simplified numerator can be written (5-√6)² .  To simplify the denominator, we FOIL.  5x5=25.  5√6 and -5√6 cancel each other out.  √6 x - √6 = - 6.  25-6=19.  So the answer is

 

(5-√6)²/19 

Answer 2

Hi Maureen;

I APOLOGIZE.  I NEVER NOTICE THE DIVIDER SIGN.