Simplify: the square root of 2 (x − the square root of 5)

Question

thomaster · Answer

so  $\large 2^2(x-5^2)$ ?

what is $ 2^2$? and $5^2$?

anonymous · Answer

attachment

thomaster · Answer

oh i'm sorry it's square root yea

thomaster · Answer

$\Large\sqrt2(x-\sqrt5)$

You could get rid of the parenthesis.
$\Large\sqrt2*x$ and $\Large\sqrt2*-\sqrt5)$

anonymous · Answer

2 times x times the square root of 2

 10 the square root of 2 times x

 the square root of 2 times x − the square root of 10

 x times the square root of 2 − the square root of 10

anonymous · Answer

these are the answers they give me

anonymous · Answer

would it be C?

thomaster · Answer

I think it's pretty obvious that $\large\sqrt2*2=\sqrt2x$
But do you know what $\large\sqrt2*-\sqrt5$ is?

thomaster · Answer

sorry $\large\sqrt2*x=\sqrt2x$

anonymous · Answer

sqrt -10?

anonymous · Answer

-sqrt(10) i mean

thomaster · Answer

Yes
It will be $\large -\sqrt{10}$

thomaster · Answer

so now we have $\Large \sqrt2x-\sqrt{10}$

anonymous · Answer

Is that it?

thomaster · Answer

So both C and D are right, since it doesn't matter when you switch a multiplication.
the square root of 2 times x is the same as x times the square root of 2
But i would go for C :)

anonymous · Answer

OKay thank you! (:

thomaster · Answer

No problem, sorry for the many typos :P