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    If √45+ √125 = 17. 88 then what will be the value of √180+ √80?
    Question

    If √45+ √125 = 17. 88 then what will be the value of √180+ √80?

    A.

    21. 6

    B.

    22. 35

    C.

    13. 4

    D.

    22. 2

    Correct option is B

    Given:
    √45+ √125 = 17. 88

    Solution:

    √45+ √125 = 17. 88
    3√5 + 5√5 = 17.88
    => 3√5 + 5√5 = 17.88
    => 8√5 = 17.88
    Now solve
    √180+ √80
    => 6√5 + 4√5 = 10√5
    => 10√5 = 17.88 × (10√5/8√5)
    => 10√5 = 17.88 × (5/4)
    => 10√5 = 22.35
    ∴ The value of √180 + √80 is 22.35.

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