Difference between revisions of "1990 AHSME Problems/Problem 5"
(Created page with "== Problem == Which of these numbers is largest? <math>\text{(A) } \sqrt{\sqrt[3]{5\cdot 6}}}\quad \text{(B) } \sqrt{6\sqrt[3]{5}}}\quad \text{(C) } \sqrt{5\sqrt[3]{6}}\quad \te...") |
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Which of these numbers is largest? | Which of these numbers is largest? | ||
− | <math>\text{(A) } \sqrt{\sqrt[3]{5\cdot 6 | + | <math>\text{(A) } \sqrt{\sqrt[3]{5\cdot 6}}\quad |
− | \text{(B) } \sqrt{6\sqrt[3]{5 | + | \text{(B) } \sqrt{6\sqrt[3]{5}}\quad |
\text{(C) } \sqrt{5\sqrt[3]{6}}\quad | \text{(C) } \sqrt{5\sqrt[3]{6}}\quad | ||
\text{(D) } \sqrt[3]{5\sqrt{6}}\quad | \text{(D) } \sqrt[3]{5\sqrt{6}}\quad | ||
Line 9: | Line 9: | ||
== Solution == | == Solution == | ||
− | <math>\fbox{B}</math> | + | Putting them all in the form <math>\sqrt{\sqrt[3]N}</math> (the order of the radicals doesn't matter), the resulting interior numbers are <cmath>30, 1080, 750, 150, 180</cmath> so the answer is <math>\fbox{B}</math> |
== See also == | == See also == |
Latest revision as of 03:05, 4 February 2016
Problem
Which of these numbers is largest?
Solution
Putting them all in the form (the order of the radicals doesn't matter), the resulting interior numbers are so the answer is
See also
1990 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
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