Difference between revisions of "2017 AMC 8 Problems/Problem 3"
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| − | To solve the equation<math>\sqrt{16\sqrt{8\sqrt{4}}}</math>. 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). | + | ==Problem 3== |
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| + | What is the value of the expression <math>\sqrt{16\sqrt{8\sqrt{4}}}</math>? | ||
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| + | <math>\textbf{(A) }4\qquad\textbf{(B) }4\sqrt{2}\qquad\textbf{(C) }8\qquad\textbf{(D) }8\sqrt{2}\qquad\textbf{(E) }16</math> | ||
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| + | ==Solution== | ||
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| + | To solve the equation<math>\sqrt{16\sqrt{8\sqrt{4}}}</math>. The square root of four is <math>2</math>. Multiply this by <math>8</math> to get <math>16</math>, and the square root of sixteen is <math>4</math>, and multiply this by <math>16</math> to get <math>64</math>. The square root of <math>64</math> is <math>8</math>, hence the answer (C). | ||
~pegasuswa | ~pegasuswa | ||
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| + | ==See Also== | ||
| + | {{AMC8 box|year=2017|num-b=2|num-a=4}} | ||
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| + | {{MAA Notice}} | ||
Revision as of 14:04, 22 November 2017
Problem 3
What is the value of the expression 
?
Solution
To solve the equation. The square root of four is 
. Multiply this by 
to get 
, and the square root of sixteen is 
, and multiply this by to get 
. The square root of is , hence the answer (C).
~pegasuswa
See Also
| 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. 
