Question

please help simplify

Answer 1

Let
\[\Large {\color{red}{x = \sqrt{7}}}\]
\[\Large {\color{blue}{y = \sqrt{6}}}\]


So what we can do is replace every copy of "square root of 7" with x. Also, we can replace every copy of "square root of 6" with y. Like so

\[\Large 5*\sqrt{7}+12*\sqrt{6}-10*\sqrt{7}-5*\sqrt{6}\]

\[\Large 5*{\color{red}{\sqrt{7}}}+12*{\color{blue}{\sqrt{6}}}-10*{\color{red}{\sqrt{7}}}-5*{\color{blue}{\sqrt{6}}}\]

\[\Large 5*{\color{red}{x}}+12*{\color{blue}{y}}-10*{\color{red}{x}}-5*{\color{blue}{y}}\]

Answer 2

Are you able to simplify `5x+12y-10x-5y` ?

Answer 3

hold on a sec.

Answer 4

i get -(5x-7y)

Answer 5

which is the same as -5x+7y if you distribute the negative through

Answer 6

these are the option i have to answer

Answer 7

once we get to -5x+7y, replace x and y with what we defined them to be earlier

\[\Large -5{\color{red}{x}} + 7{\color{blue}{y}}\]

\[\Large -5{\color{red}{\sqrt{7}}} + 7{\color{blue}{\sqrt{6}}}\]

Answer 8

and i dont see it there

Answer 9

So after combining like terms
\[\Large 5*\sqrt{7}+12*\sqrt{6}-10*\sqrt{7}-5*\sqrt{6}\]
simplifies to
\[\Large -5{\color{black}{\sqrt{7}}} + 7{\color{black}{\sqrt{6}}}\]

Answer 10

is the last part suppossed to be positive because its not part of the answer choices

Answer 11

show your answer choices again please

Answer 12

it is in the attachment file

Answer 13

That file is just the original problem

Answer 14

oh wait

Answer 15

hold on i am having a techncal deficulty

Answer 16

take all the time you need