# Math Help - unlike radicands...possible to do anything??

1. ## unlike radicands...possible to do anything??

I have a problem that just kinda bugs me.

5*6 + 2*10

is there anything that you can do with that??

2. Originally Posted by hollyberry47
I have a problem that just kinda bugs me.

5*6 + 2*10

is there anything that you can do with that??
$\sqrt{2}(5\sqrt{3} + 2\sqrt{5})$

not much of a change, but that's about it.

3. Originally Posted by hollyberry47
I have a problem that just kinda bugs me.

5*6 + 2*10

is there anything that you can do with that??
$\sqrt{2}$ is a common factor

$\sqrt{ab} = \sqrt{a}\sqrt{b} \: , \: a,b \geq 0$

$5\sqrt{6} = 5\sqrt{2}\sqrt{3}$

$2\sqrt{10} = 2\sqrt{2}\sqrt{5}$

$
5\sqrt{2}\sqrt{3} + 2\sqrt{2}\sqrt{5} = \sqrt{2}(5\sqrt{3}+2\sqrt{5})$

But that seems pointless, better to leave it in the form you have it in unless it helps enormously to have the square root of 2 ready for further operation