How do you simplify sqrt(27) - sqrt(8) + 2 sqrt(2)278+22?

2 Answers

It is

sqrt(27) - sqrt(8) + 2 sqrt(2)=3*sqrt3-2sqrt2+2sqrt2=3*sqrt3278+22=3322+22=33

Feb 28, 2016

3sqrt(3)33

Explanation:

Since
color(white)("XXX")color(red)(sqrt(27) = sqrt(3^2*3) = 3sqrt(3))XXX27=323=33
and
color(white)("XXX")color(blue)(sqrt(8) = sqrt(2^2*2) = 2sqrt(2))XXX8=222=22

Therefore
color(white)("XXX")color(red)(sqrt(27)-color(blue)(sqrt(8) + color(green)(2sqrt(2)XXX278+22

color(white)("XXX")= color(red)(3sqrt(3))cancel(-color(blue)(2sqrt(2)))cancel(+color(green)(2sqrt(2)))

color(white)("XXX")=3sqrt(3)