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    If √45 +√125 = 17.89, then what will be the value of √180 +√80 ? (Give your answer to one decimal place.)
    Question

    If √45 +√125 = 17.89, then what will be the value of √180 +√80 ?
    (Give your answer to one decimal place.)

    A.

    71.9

    B.

    13.5

    C.

    22.4

    D.

    21.6

    Correct option is C

    Given:
    √45 +√125 = 17.89
    Solution:
    √45 +√125 = 17.89
    => 3√5 + 5√5 = 17.89
    => 8√5 = 17.89
    Now solve

    √180 +√80
    => 6√5 + 4√5 = 10√5
    => 10√5 = 17.89 × (10√5/8√5)
    => 10√5 = 17.89 × (5/4)
    => 10√5 = 22.4

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