Question

Please help me
(2sqrt5 + 3sqrt7)^2

Answer 1

\[(2\sqrt{5} + 3\sqrt{7})^{2}\]

Answer 2

Use the formula :
\[( a + b )^{2} = a ^{2} ++2ab + b ^{2} \]

Answer 3

And then plug in the values:
\[a = 2 \sqrt{5}\]
\[b = 3\sqrt{7}\]

Answer 4

Now, you get :
\[(2\sqrt{5})^{2} + 2 \times 2\sqrt{5}\times 3\sqrt{7} + (3\sqrt{7}) ^{2}\]

Answer 5

Can you do it now?

Answer 6

I have a real hard time simplifying further than that... I can't really do radicals

Answer 7

Okay, well take \[(2\sqrt{5} ) ^{2}\] separately then.
It'll be equal to \[2 \times \sqrt{5} \times \sqrt{5}\]
How much is it?

Answer 8

Make the 2 into 4. Oops. :P

Answer 9

Do it the old fashion way