How do you simplify #sqrt 9 times 3 sqrt 2#?

1 Answer
Mar 25, 2016

Answer:

#9sqrt2#

Explanation:

First, notice that #sqrt9=3#, since #3^2=9#.

So, the expression more simply becomes:

#3xx3sqrt2#

Recall that #3sqrt2# is just a multiplication problem between #3# and #sqrt2#, that is, #3sqrt2=3xxsqrt2#.

Hence the expression can be written as

#3xx3xxsqrt2#

We can simplify #3xx3=9#. We cannot do anything with the #sqrt2#, so our final answer is

#9sqrt2#