How do you simplify #sqrt18 + sqrt8 - sqrt32#?

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Answer 1 · 2016-02-13T02:28:29

First, we can simplify each individual radical.

#sqrt18 = sqrt(9*2) = 3sqrt2#
#sqrt8 = sqrt(4*2) = 2sqrt2#
#sqrt32 = sqrt(16*2) = 4sqrt2#

So now we have:

#3sqrt2 + 2sqrt2 - 4sqrt2#

Since these have the same radicals, we can add and subtract them as we do with variables.

#5sqrt2 - 4sqrt2#

And our answer is

#sqrt2#