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9 November, 05:23

Find the difference: sqrt20-sqrt80

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  1. 9 November, 09:16
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    -2sqrt5

    Step-by-step explanation:

    Lets begin by simplifying the radicals.

    20 can be factored into 4*5, and since 4 is a perfect square, we can take out a 2.

    therefore:

    sqrt20 = 2sqrt5

    80 can be factored into 16*5, and since 16 is a perfect square, we can take out a 4

    therefore:

    sqrt80 = 4sqrt5

    So finally we have, 2sqrt5-4sqrt5 = - 2sqrt5
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