Question

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

Answer 1

isolate x by multiplying \[\sqrt{3} * \sqrt{6}\]

Answer 2

\[\sqrt{a}*\sqrt{b}=\sqrt{a*b}\]

Answer 3

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?

Answer 4

You multiply both sides by \[\sqrt{3}\]

Answer 5

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

Answer 6

ahh, i see. thank you!

Answer 7

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