2017 AMC 8 Problems/Problem 3

Problem 3

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

$\textbf{(A) }4\qquad\textbf{(B) }4\sqrt{2}\qquad\textbf{(C) }8\qquad\textbf{(D) }8\sqrt{2}\qquad\textbf{(E) }16$

Solution

To solve the equation $\sqrt{16\sqrt{8\sqrt{4}}}$ . The square root of four is $2$ . Multiply this by $8$ to get $16$ , and the square root of sixteen is $4$ , and multiply this by $16$ to get $64$ . The square root of $64$ is $8$ , hence the answer (C).

~pegasuswa

2017 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Page

Toolbox

Search

2017 AMC 8 Problems/Problem 3

Problem 3

Solution

See Also