How do you simplify #3sqrt2(2sqrt-4)+sqrt2(5-sqrt2)#?

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Answer 1 · 2017-05-05T13:02:57

#11sqrt2 - 2#

Before we begin tackling this problem, separate it into small chunks so that it is easier for us to handle.

#sqrt-4# does not exist as it is a negative surd(radical) so the problem looks like this.

#3sqrt2*(2)# = #6sqrt2#

#sqrt2(5-sqrt2)#
Multiply it out and then simplify:

#5sqrt2-sqrt4# = #5sqrt2 - 2#

Now add the two parts together which will give you the answer.

#6sqrt2 + 5sqrt2 - 2#

#= 11sqrt2 - 2#