Question

Simplify ( 2 square root 5 + 3 square root 7)^2. Show your work. Justify each step.
Mom having a hard time understanding. Thank you for any help you can give

Answer 1

I am not sure you can say you are simplifying... but you can "expand" it
\[ (2 \sqrt{5} + 3\sqrt{7})^2 \] is the same as
\[ (2 \sqrt{5} + 3\sqrt{7})(2 \sqrt{5} + 3\sqrt{7}) \]

Do you know how to multiply this out (use FOIL if you know it) ?

Answer 2

See http://www.khanacademy.org/math/algebra/polynomials/multiplying_polynomials/v/multiplying-binomials-with-radicals
for a short video on how to do this

Answer 3

I do but I dont think I came up with the right steps for it