bails4 bails4
  • 19-07-2015
  • Mathematics
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simplify the radical expression 5√7+2√175

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Paweł19 Paweł19
  • 19-07-2015
[tex]5\sqrt{7} + 2\sqrt{175}=5\sqrt{7}+2\sqrt{25 \cdot 7}=5\sqrt{7}+ 2 \cdot \sqrt{25} \cdot \sqrt{7}= \\ \\ = 5\sqrt{7}+2 \cdot 5 \cdot \sqrt{7}=5\sqrt{7}+10\sqrt{7}=\boxed{15\sqrt{7}} \approx 39.69[/tex]

remember about formula [tex]\sqrt{ab} = \sqrt{a} \cdot \sqrt{b}[/tex]
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