Задание

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Найди значение корня.

\({\sqrt{72\cdot 2}=\sqrt{36\cdot 2\cdot 2}\mathrlap{\:=} }\) \({=\sqrt{36\cdot 4}=\sqrt{36}\cdot \sqrt{4}=6 \mathrlap{\:\cdot} }\) \(\cdot 2=12\) .

\({\sqrt{\dfrac{72}{50}}=\sqrt{\dfrac{36\cdot 2}{25\cdot 2}}=\sqrt{\dfrac{36}{25}}\mathrlap{\:=}}\) \({=\dfrac{6}{5}}.\)

  1. \(\sqrt{90\cdot 160}=\) [ ].
  2. \(\sqrt{50\cdot 8}=\) [ ].
  3. \(\sqrt{\dfrac{90}{160}}=\) [ ].
  4. \(\sqrt{\dfrac{45}{500}}=\) [ ].