Question

@snowskimwake See attachment

Answer 1

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

Answer 2

@jim_thompson5910

Answer 3

I'll start you off

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

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

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

and I'll let you take over from here

Answer 4

going from step 2 to step 3, I'm using the idea that

(a+b)(c+d) = a(c+d) + b(c+d)

Answer 5

okay I know I distribute the 5 but do I do it one the outside of the root or on the inside?

Answer 6

you do it on the outside

Answer 7

so,

5*(5+2*sqrt(7)) = 5*5 + 5*2*sqrt(7)

5*(5+2*sqrt(7)) = 25 + 10*sqrt(7)

make sense?

Answer 8

is it 53 @jim_thompson5910

Answer 9

is what 53? the final answer you mean?

Answer 10

yea?

Answer 11

\[53+20\sqrt{7} \] or is it this

Answer 12

let me check

Answer 13

okay

Answer 14

the expression

\[\large 53+20\sqrt{7} \]

is the final answer

Answer 15

okay thank you I was not sure:)

Answer 16

you're welcome