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Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1986 AMC 12/AHSME
5
Simplifying square roots without calculator
Simplifying square roots without calculator
Source:
October 26, 2005
Problem Statement
Simplify
(
27
6
−
6
3
4
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2
\left(\sqrt[6]{27} - \sqrt{6 \frac{3}{4} }\right)^2
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27
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4
3
)
2
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<span class='latex-bold'>(A)</span>\ \frac{3}{4} \qquad <span class='latex-bold'>(B)</span>\ \frac{\sqrt 3}{2} \qquad <span class='latex-bold'>(C)</span>\ \frac{3 \sqrt 3}{4} \qquad <span class='latex-bold'>(D)</span>\ \frac{3}{2} \qquad <span class='latex-bold'>(E)</span>\ \frac{3 \sqrt 3}{2}
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