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anonymous

  • 5 years ago

subtract and simplify 3√45-√20-√80 i have it broken down to (3)3√9√5-2√2√5-√14√5 i know the answer is 3√5 but don't know how to get to 3√5

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  1. anonymous
    • 5 years ago
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    It breaks down to: \[9\sqrt{5} - 2\sqrt{5} - 4\sqrt{5} = 3\sqrt{5}\]

  2. anonymous
    • 5 years ago
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    \[\sqrt{45}=\sqrt{3*3*5}=3\sqrt{5}\]\[\sqrt{20}=\sqrt{2*2*5}=2\sqrt{5}\]\[\sqrt{80}=\sqrt{4*4*5}=4\sqrt{5}\]so you subtraction becomes \[3\sqrt{5}-2\sqrt{5}-4\sqrt{5}=-3\sqrt{5}\]

  3. anonymous
    • 5 years ago
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    sorry there was one 3 with sqrt(45) so ans will be

  4. anonymous
    • 5 years ago
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    \[+3\sqrt{5}\]

  5. anonymous
    • 5 years ago
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    ahhh i see now i calculated wrong for √80 and that was what was throwing me off.

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