2017 AMC 8

Complete problem set with solutions and individual problem pages

Problem 3 Easy

What is the value of the expression \sqrt{16\sqrt{8\sqrt{4}}}?

  • A.

    4

  • B.

    4 \sqrt2

  • C.

    8

  • D.

    8 \sqrt2

  • E.

    16

Answer:C

\sqrt{16\sqrt{8\sqrt{4}}} = \sqrt{16\sqrt{8\cdot 2}} = \sqrt{16\sqrt{16}} = \sqrt{16\cdot 4} = \sqrt{64} = \boxed{\textbf{(C)}\ 8}.