How do you simplify #3sqrt8*2sqrt7#?
1 Answer
I personally multiply them so I have one number under one radical. I simplify if from there. In this case, I got
Explanation:
First, I square the coefficients to make it a radical.
#3sqrt8 xx 2sqrt7#
#=sqrt9sqrt8 xx sqrt4sqrt7#
This results in two radicals being multiplied be each other. This means that you can just multiply the number under the radical.
#=sqrt72 xx sqrt28#
Again, we can multiply the numbers under the radical.
#=sqrt2016#
Now I find a number that divides
So you get:
#=sqrt144sqrt14#
We can simplify this to:
#=12sqrt14#
We can double check our work by simply inputting it into our calculator and compare answers.
#12sqrt14 = 44.9#
#(3sqrt8)xx(2sqrt7) = 44.9#
Thus, we can conclude that
Hope this helps :)