Question

Simplify (2sqrt5+3sqrt7)^2. I got 83+12sqrt35. Please show how you solved this and if I'm correct. Thanks everyone! Will medal :)

Answer 1

\[\large (2\sqrt{5} + 3\sqrt{7})^2\]
\[\large (2\sqrt{5} + 3\sqrt{7})(2\sqrt{5} + 3\sqrt{7})\]
\[\large (4\times 5) + (6\sqrt{35}) + (6\sqrt{35}) + (9\times 7)\]
\[\large 83 + 12\sqrt{35}\]
\(\large \color \red{\checkmark}\) Good job! :)

Answer 2

Yay! Thanks! @johnweldon1993

Answer 3

No problem!