Originally Posted by

**Peleus** Hi all,

I'm trying to learn about radicals and roots, and what we can do with them.

I understand the principle is $\displaystyle x^2 * x^4 = x^(2+4) = x^6$

Basically if the base is the same and we are multiplying we just add the powers.

Same powers rules holds true with square roots i.e.

$\displaystyle {\color{red}{n\sqrt{x} * n\sqrt{y}= n\sqrt{x + y}}}$

Now my question is does the power rules still hold true with the radican being the same?

If not what is it?

Can we say ...

$\displaystyle a\sqrt{4x} * b\sqrt{4x} = (a+b)\sqrt{4x}$ ???

If not, whats the answer?