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19 August, 07:48

What is the simples form of the the following expression? 2 square root 18 + 3 square root 2 + square root 162

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  1. 19 August, 09:37
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    18 sqrt (2)

    Step-by-step explanation:

    Simplify the following:

    2 sqrt (18) + 3 sqrt (2) + sqrt (162)

    sqrt (18) = sqrt (2*3^2) = 3 sqrt (2):

    2*3 sqrt (2) + 3 sqrt (2) + sqrt (162)

    2*3 = 6:

    6 sqrt (2) + 3 sqrt (2) + sqrt (162)

    sqrt (162) = sqrt (2*3^4) = 3^2 sqrt (2):

    6 sqrt (2) + 3 sqrt (2) + 3^2 sqrt (2)

    3^2 = 9:

    6 sqrt (2) + 3 sqrt (2) + 9 sqrt (2)

    Add like terms. 6 sqrt (2) + 3 sqrt (2) + 9 sqrt (2) = 18 sqrt (2):

    Answer: 18 sqrt (2)
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