Verified answer

You read 2√3 aloud as "2 root 3" or "2 * square root of 3."

So you have 2√3 and you want to divide it by 1√6

First let's write it out:

(2√3) / (1√6)

The 1 in front of the √6 doesn't do anything, so we can ignore it. That's because 1 * any number is just that number. So 1√6 = √6.

Now we have:

(2√3) / (√6)

Inside the √ symbol, we have 6. 6 can be factored into 2 and 3. That is, 6 = 2*3.

So we can write √6 = √(2*3).

We can also write √6 = √2 * √3

That means we have:

(2√3) / [ √2 * √3]

Now the √3 in the numerator and denominator will cancel out leaving us with:

2 / 1

Which is the same as 2.

If you want to multiply √3 * √3, then the square root disappears and you're left with 3.

Here are some more examples:

2√3 - 4√3 = -2√3

3√3 * 4√3 = 3*4*√3*√3 = 12*3 = 36

3√4 = 3√(2*2) = 3*2 = 6

3√8 / (3√4) = √8 / √4 = (√2*√4)/√4 = √2