Question

What's square root 3 times square root 6?

Answer 1

`3sqrt2`

Explanation:

First put change the words into an equation:
`sqrt3 xx sqrt6`

Now you can multiply them together as you would normally multiply:
`sqrt3 xx sqrt6 = sqrt18`

Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
`" " " "18`
`" " " / \ "`
`" " "6 " " 3 "`
`" / \ "`
`" 2 " 3"`

As you can see, we have a square: `3 xx 3= 9`

So take `sqrt9` out of `sqrt18`. You should have:
`sqrt9sqrt2`

But since `sqrt9 = 3` we can simplify further to make:
`sqrt9sqrt2 rarr 3sqrt2`

Answer 2

the answer is `3sqrt(2)`

Explanation:

first multiply the numbers inside the square root. now you have `sqrt(18)`
`^`
`3,9`
`^`
`3,3`
`3sqrt(2)`

Answer 3

`3root`2 or `root`18

Explanation:

the answer is `3 root`2 because the factors of `root`18 are 2 and 9 and since 9 is a perfect square you can take it out of the radican and it becomes `3 root`2 . Another thing you can do is `root`18 because when you multiply `root`3 * `root`6 you get `root`18