Question

equation that I need help with is 8 over 3 plus sqrt 7

Answer 1

\[\frac{8}{3+\sqrt{7}}\]

Answer 2

is that it

Answer 3

well if it is multiply top and bottom by conjugate
\[\frac{8}{3+\sqrt{7}}*\frac{3-\sqrt{7}}{3-\sqrt{7}}\]
\[=\frac{24-8\sqrt{7}}{2}\]
factor out a 2 on top which cancels the 2 on bottom leaving
\[= 12-4\sqrt{7}\]

Answer 4

wonderful! how did you come up with the 8, though? is it that you must include the same number you multiply with in the top equation?

Answer 5

and how in the heck did you get 2?

Answer 6

oh, never

mind. thank you!

Answer 7

by distributing on top, FOIL on bottom
your welcome :)

Answer 8

quick question- for these types of problems, will the denominator always be 2?