# What's square root 3 times square root 6?

Mar 12, 2018

$3 \sqrt{2}$

#### Explanation:

First put change the words into an equation:
$\sqrt{3} \times \sqrt{6}$

Now you can multiply them together as you would normally multiply:
$\sqrt{3} \times \sqrt{6} = \sqrt{18}$

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:
$\text{ " " } 18$
$\text{ " " / \ }$
$\text{ " "6 " " 3 }$
$\text{ / \ }$
$\text{ 2 " 3}$

As you can see, we have a square: $3 \times 3 = 9$

So take $\sqrt{9}$ out of $\sqrt{18}$. You should have:
$\sqrt{9} \sqrt{2}$

But since $\sqrt{9} = 3$ we can simplify further to make:
$\sqrt{9} \sqrt{2} \rightarrow 3 \sqrt{2}$

Mar 12, 2018

the answer is $3 \sqrt{2}$

#### Explanation:

first multiply the numbers inside the square root. now you have $\sqrt{18}$
$^$
$3 , 9$
$^$
$3 , 3$
$3 \sqrt{2}$

Mar 12, 2018

3root 2 or root 18

#### Explanation:

the answer is 3 root2 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 root2 . Another thing you can do is root18 because when you multiply root3 * root6 you get root18