How do you simplify #-sqrt27-3sqrt45-sqrt20+2sqrt45#?

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Answer 1 · 2017-04-25T16:09:17

#-3sqrt(3)-5sqrt(5)#

Given:#" "-sqrt(27)-3sqrt45 -sqrt20+2sqrt45#

First note that amongst this we have:

#" "-3sqrt(45)+2sqrt(45)->-sqrt(45)#

So the initial expression becomes#" "-sqrt(27)-sqrt(45)-sqrt(20)#

Now we are looking for squared value we can take 'outside' the roots.

Write as:#" "-sqrt(3xx3^2)-sqrt(5xx3^2)-sqrt(5xx2^2)#

#-3sqrt(3)-3sqrt(5)-2sqrt(5)#

#-3sqrt(3)-5sqrt(5)#