Question

rationalize the denominator and simplify the answer:
sqrt x/ sqrt x - sqrt 7

Answer 1

ok multiply top and bottom by
\[\sqrt{x}+\sqrt{7}\]

Answer 2

the denominator will be
\[(\sqrt{x}-\sqrt{7})(\sqrt{x}+\sqrt{7})=x-7\]

Answer 3

then numerator will be whatever you get when you multiply out

Answer 4

ok thx

Answer 5

\[\sqrt{x}(\sqrt{x}+\sqrt{7})=x+\sqrt{7x}\]