Question

Solve: \[(6-\sqrt{7})(5+\sqrt{7})\]

Answer 1

you gotta multiply this out:

\[30+6\sqrt{7}-5\sqrt{7}-7\], then simplify

Answer 2

23+1√7?

Answer 3

sure

Answer 4

\[\large (6-\sqrt{7})(5+\sqrt{7})\]


\[\large 6*5+6*\sqrt{7}+(-\sqrt{7})(5)+(-\sqrt{7})(\sqrt{7})\]


\[\large 30+6\sqrt{7}-5\sqrt{7}-\sqrt{7*7}\]


\[\large 30+6\sqrt{7}-5\sqrt{7}-\sqrt{49}\]


\[\large 30+6\sqrt{7}-5\sqrt{7}-7\]


\[\large 23+\sqrt{7}\]

So \[\large (6-\sqrt{7})(5+\sqrt{7})=23+\sqrt{7}\]

Answer 5

Thank you for explaining Jim :)