help please :)

Question

Rationalize the denominator, leaving the result in radical form (please solve all):

 

A) (2 + √3) / (3 - √4)

 

B) (4 - √2x) / (7 + √3x)

 

/ means divided by :)

Answer 1

A) (2 + √3) / (3 - √4)

 =(2 + √3) / (3-2) or (2 + √3) / (3+2)

=2 + √3 or  (2 + √3) /5

 

 

 

B) (4 - √2x) / (7 + √3x)

=(4 - √2x)(7- √3x) / (7 + √3x)(7- √3x)

=(28-4√3x-7√2x+x²√6)/49-9x