Question

√2x^3/3x

Answer 1

I suppose this means \[\frac{ \sqrt{2x^3} }{ 3x }\]

Answer 2

So you can split up the terms in the equation like this\[\frac{ \sqrt{2xx^2} }{ 3x }\]

Answer 3

So how can you simplify the square root?

Answer 4

Well can you take some stuff out of the square root?

Answer 5

You're close, there's a reason I made it x^2
Can't you take that out?

Answer 6

Yeah so how can you write that when you take out the x^2?

Answer 7

Well no,...
Let's use an example, what is\[\sqrt{2^2}?\]

Answer 8

Yup that's right
\[\sqrt{2^2}=2\]
So following that pattern couldn't we say that \[\sqrt{x^2}=x?\]

Answer 9

So another way to write\[\frac{ \sqrt{2x}\times \sqrt{x^2} }{ 3x }\]

Answer 10

Using what I said earlier\[\sqrt{x^2}=x\]
So this becomes\[\frac{ \sqrt{2x}\times x }{ 3x }\]

Answer 11

So the x cancels out in the denominator and the numerator and this becomes\[\frac{ \sqrt{2x} }{ 3 }\]

Answer 12

Which is the simplest you can get it to