what is the square root of 364

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18-05-2015
Mathematics

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what is the square root of 364

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Аноним Аноним · Answer 1 · 2015-05-23T14:56:39-04:00

Аноним Аноним

23-05-2015

[tex]364|2\\182|2\\.\ 91|7\\.\ 13|13\\.\ \ 1|\\\\364=2\cdot2\cdot7\cdot13=2^2\cdot(7\cdot13)=2^2\cdot91\\\\\sqrt{364}=\sqrt{2^2\cdot91}=\sqrt{2^2}\cdot\sqrt{91}=2\cdot\sqrt{91}=\boxed{2\sqrt{91}}\approx19,079[/tex]

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