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Discussion :: Square Root and Cube Root

  1.  The  square root of (7 + 3 \(\sqrt{5}\)) (7 - 3\(\sqrt{5}\)) is 

    2. A.

    \(\sqrt{5}\)
    B.

    2
    C.

    4
    D.

    3\(\sqrt{5}\)

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    Answer : Option B

    Explanation :

    \(\sqrt{(7+3\sqrt{5})(7-€‹€‹€‹3\sqrt{5})}\) = \(\sqrt{(7)^2-(3\sqrt{5})^2}\)  =  \(\sqrt{49-45}\)  = \(\sqrt{4}\) =2

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