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what is the square root of 364

Sagot :

[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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