\sqrt{48+6 \sqrt{55} }
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sqrt{48+6sqrt{55}}
= sqrt{48+ 2*3 sqrt(55)}
= sqrt{48+2 sqrt(9*55)}
= sqrt{48+ 2 sqrt(495)}
= sqrt{ (33+15) + 2sqrt(33*15)}
= sqrt{[(sqrt 33) + (sqrt(15)]^2} [ (a+b)^2= a^2+2*a*b+b^2]
=sqrt 33+ sqrt 15
= sqrt{48+ 2*3 sqrt(55)}
= sqrt{48+2 sqrt(9*55)}
= sqrt{48+ 2 sqrt(495)}
= sqrt{ (33+15) + 2sqrt(33*15)}
= sqrt{[(sqrt 33) + (sqrt(15)]^2} [ (a+b)^2= a^2+2*a*b+b^2]
=sqrt 33+ sqrt 15
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