How do you simplify #\sqrt { 8} + \sqrt { 3} + \sqrt { 3} + \sqrt { 2}#?

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Answer 1 · 2018-01-31T03:21:26

#3sqrt2+2sqrt3#

#sqrt8 = sqrt(4*2)=sqrt4 * sqrt2 = 2sqrt2#

Surds can be added like this:

#1sqrta + 2sqrta= 3sqrta#

Therefore,

#sqrt8+sqrt3+sqrt3+sqrt2#

#=2sqrt2+sqrt2+sqrt3+sqrt3#

#color(red)(=3sqrt2+2sqrt3)#

Note: #1sqrta+1sqrtb != 2sqrt(a+b)#