Difference between revisions of "2017 AMC 8 Problems/Problem 3"

Revision as of 12:58, 18 January 2021

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

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

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

2017 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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All AJHSME/AMC 8 Problems and Solutions

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−	==Problem 3==	+	==Problem==

	What is the value of the expression <math>\sqrt{16\sqrt{8\sqrt{4}}}</math>?		What is the value of the expression <math>\sqrt{16\sqrt{8\sqrt{4}}}</math>?