Question 196319
sqrt 50  +2sqrt32 -sqrt8
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Usually  this  imvolves  factoring  under  the  radical,  but with  perfect  squares  only (1,4,9,16 etc)
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sqrt(25*2) + 2sqrt(16*2) -sqrt(4*2)
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separate  factors  using ,,,sqrt a*b = sqrt(a) *sqrt(b)
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sqrt25*sqrt2 +2sqrt16*sqrt2 -sqrt4 sqrt2
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5sqrt2 + 2*4*sqrt 2 - 2sqrt2
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collect  like  terms,,,  in  the  case  sqrt2
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(5 +2*4 -2) sqrt2
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(5+8-2) sqrt2
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11 sqrt2,,,,,,  answer
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checking  by  using  calculator  on  answer (15.56),,,and  on  original (15.56),,,ok