What's square root 3 times square root 6?

3 Answers
Mar 12, 2018

Answer:

#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#

Mar 12, 2018

Answer:

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)#

Mar 12, 2018

Answer:

#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