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rockets31

  • 4 years ago

how to simplify the square root of 20

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  1. nenadmatematika
    • 4 years ago
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    =2 square roots of 5

  2. vengeance921
    • 4 years ago
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    \[\sqrt{20}=\sqrt{2*2*5}=2\sqrt{5}\]

  3. vengeance921
    • 4 years ago
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    Okay so steps to simply would be: First, we have a number: \[\sqrt{20}\] So, check how can you factor 20 20=2*2*5 right? So, \[\sqrt{20}=\sqrt{2*2*5}\] Since 2 is repeating (2x2x5-2 is 2 times) We take it out, since \[\sqrt{2*2*5}=\sqrt{2*2}*\sqrt{5}\] Which is same as: \[\sqrt{2*2*5}=\sqrt{4}*\sqrt{5}\] \[\sqrt{4}*\sqrt{5}=2\sqrt{5}\] Which is the final answer.

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