Multiple Choice Question (MCQ)

The value of (\sqrt{2}+\sqrt{5} )^2 is

  1. ×

    7+2\sqrt{5}

  2. ×

    1+5\sqrt{2}

  3. 7+2\sqrt{10}

  4. ×

    7-2\sqrt{10}

Collected in the board: Square Root

Steven Zheng posted 4 hours ago

Answer

  1. Apply the perfect square formula to expand the expression

    (\sqrt{2}+\sqrt{5} )^2

    =(\sqrt{2} )^2+2\sqrt{2}\cdot \sqrt{5} +(\sqrt{5} )^2

    =2+2\sqrt{10}+5

    =7+2\sqrt{10}

Steven Zheng posted 4 hours ago

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