How do I express this equation into simplest radical form? χ÷√3=√6? The answer is 3√2 but why and how?

Question

anonymous · Answer

isolate x by multiplying $$\sqrt{3} * \sqrt{6}$$

anonymous · Answer

$$\sqrt{a}*\sqrt{b}=\sqrt{a*b}$$

anonymous · Answer

ohh.. wait so I just transfer sq. root of 3 to the right? There's nothing i have to do with the x/sq.root of 3?

anonymous · Answer

You multiply both sides by $$\sqrt{3}$$

anonymous · Answer

This will isolate x, then you can simplify the square root of 18

anonymous · Answer

ahh, i see. thank you!

phi · Answer

notice they want simplest radical form
so
$$\frac{x}{\cancel{\sqrt{3}}}\cdot \cancel{\sqrt{3}}= \sqrt{6\cdot3}= \sqrt{2\cdot3\cdot3}= 3\sqrt{2}$$