g,(√12+√75+√27):√5

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1. Đáp án:

    `(\sqrt{12} + \sqrt{75} + \sqrt{27}) : \sqrt{5} = 2\sqrt{15}`

   Giải thích các bước giải:

    `(\sqrt{12} + \sqrt{75} + \sqrt{27}) : \sqrt{5}`

   `=(\sqrt{4*3} + \sqrt{25*3} + \sqrt{9*3}) : \sqrt{5}`

   `=(2\sqrt{3} + 5\sqrt{3} + 3\sqrt{3}) : \sqrt[5}`

   `=10\sqrt{3} : \sqrt{5}`

   `=(10\sqrt{3})/(\sqrt{5})`

   `=(10\sqrt{3}\sqrt{5})/(\sqrt{5}\sqrt{5})`

   `=(10\sqrt{15})/5`

   `=2\sqrt{15}`

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2.    ($\sqrt[]{12}$ +$\sqrt[]{75}$ +$\sqrt[]{27}$):$\sqrt[]{5}$ 

   =  ($2\sqrt[]{3}$ +$5\sqrt[]{3}$ +$3\sqrt[]{3}$):$\sqrt[]{5}$ 

   = [(2+5+3)×$\sqrt[]{3}$]:$\sqrt[]{5}$ 

   = $10\sqrt[]{3}$:$\sqrt[]{5}$ 

   = $\frac{10\sqrt[]{3}\sqrt[]{5}}{5}$ 

   = $\frac{10\sqrt[]{15}}{5}$ 

   = $2\sqrt[]{15}$ 

   Reply