## anonymous 4 years ago How do I express this equation into simplest radical form? χ÷√3=√6? The answer is 3√2 but why and how?

1. anonymous

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

2. anonymous

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

3. anonymous

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?

4. anonymous

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

5. anonymous

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

6. anonymous

ahh, i see. thank you!

7. phi

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