Multiple Choice Question (MCQ)

Solve for y: 26 = 3\sqrt{2y} + 8

  1. ×

    6

  2. 18

  3. ×

    3

  4. ×

    -6

  5. ×

    no solution

Collected in the board: Radical equations

Steven Zheng posted 4 months ago

Answer

  1. 26 = 3\sqrt{2y} + 8

    Isolate term with radical on one side

    26-8 = 3\sqrt{2y}

    Subtract 8 from 26

    24 = 3\sqrt{2y}

    Divide both sides by 3

    6 = \sqrt{2y}

    Square to raise both sides to the index of the radical

    36 = 2y

    Divide both sides by 2

    y = 18

    B is the correct choice

Steven Zheng posted 4 months ago

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