jackieb252 jackieb252
  • 30-05-2016
  • Mathematics
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what is the simplified square root of 1/56?

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Аноним Аноним
  • 30-05-2016
[tex]\sqrt { \frac { 1 }{ 56 } } \\ \\ =\frac { \sqrt { 1 } }{ \sqrt { 56 } } \\ \\ =\frac { 1 }{ \sqrt { 7\cdot 8 } } \\ \\ =\frac { 1 }{ \sqrt { 7\cdot 2\cdot 4 } }[/tex]

[tex]\\ \\ =\frac { 1 }{ \sqrt { 14\cdot 4 } } \\ \\ =\frac { 1 }{ \sqrt { 14 } \sqrt { 4 } } \\ \\ =\frac { 1 }{ 2\cdot \sqrt { 14 } } \\ \\ =\frac { 1 }{ 2\cdot \sqrt { 14 } } \cdot \frac { \sqrt { 14 } }{ \sqrt { 14 } } \\ \\ =\frac { \sqrt { 14 } }{ 2\cdot 14 } \\ \\ =\frac { \sqrt { 14 } }{ 28 } [/tex]
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